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# Unit 3 hw 4 - solving equations variable both sides

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### Unit 3 hw 4 - solving equations variable both sides

1. 1. Unit 3 - Homework 4Solving Equations with Variables on Both Sides
2. 2. Steps to Solve Equations with Variables on Both Sides(1) Take care of any parenthesis by distributing.
3. 3. Steps to Solve Equations with Variables on Both Sides(1) Take care of any parenthesis by distributing.(2) Combine all like terms on each side of the equal sign.
4. 4. Steps to Solve Equations with Variables on Both Sides(1) Take care of any parenthesis by distributing.(2) Combine all like terms on each side of the equal sign. ★ Same Side, Same Operation
5. 5. Steps to Solve Equations with Variables on Both Sides(1) Take care of any parenthesis by distributing.(2) Combine all like terms on each side of the equal sign. ★ Same Side, Same Operation(3) Get variables to one side of =. Moving the smallest will avoid dividing by a negative.
6. 6. Steps to Solve Equations with Variables on Both Sides(1) Take care of any parenthesis by distributing.(2) Combine all like terms on each side of the equal sign. ★ Same Side, Same Operation(3) Get variables to one side of =. Moving the smallest will avoid dividing by a negative. ★ Opposite Side, Opposite Operation
7. 7. Steps to Solve Equations with Variables on Both Sides(1) Take care of any parenthesis by distributing.(2) Combine all like terms on each side of the equal sign. ★ Same Side, Same Operation(3) Get variables to one side of =. Moving the smallest will avoid dividing by a negative. ★ Opposite Side, Opposite Operation(4) Isolate term with variable.
8. 8. Steps to Solve Equations with Variables on Both Sides(1) Take care of any parenthesis by distributing.(2) Combine all like terms on each side of the equal sign. ★ Same Side, Same Operation(3) Get variables to one side of =. Moving the smallest will avoid dividing by a negative. ★ Opposite Side, Opposite Operation(4) Isolate term with variable. ★ Opposite Side, Opposite Operation
9. 9. Steps to Solve Equations with Variables on Both Sides(1) Take care of any parenthesis by distributing.(2) Combine all like terms on each side of the equal sign. ★ Same Side, Same Operation(3) Get variables to one side of =. Moving the smallest will avoid dividing by a negative. ★ Opposite Side, Opposite Operation(4) Isolate term with variable. ★ Opposite Side, Opposite Operation(5) Multiply or Divide to get coefﬁcient of variable to 1.
10. 10. Solve: 2a − 3 = 5a − 8
11. 11. Solve: 2a − 3 = 5a − 8✦ Variables together Opposite side = Opposite operation
12. 12. Solve: 2a − 3 = 5a − 8✦ Variables together Opposite side = Opposite operation ✦ Moving the smallest avoids dividing by a negative.
13. 13. Solve: 2a − 3 = 5a − 8✦ Variables together −2a −2a Opposite side = Opposite operation ✦ Moving the smallest avoids dividing by a negative.
14. 14. Solve: 2a − 3 = 5a − 8✦ Variables together −2a −2a Opposite side = Opposite operation −3 = 3a − 8 ✦ Moving the smallest avoids dividing by a negative.
15. 15. Solve: 2a − 3 = 5a − 8✦ Variables together −2a −2a Opposite side = Opposite operation −3 = 3a − 8 ✦ Moving the smallest avoids dividing by a negative.✦ Isolate variable term.
16. 16. Solve: 2a − 3 = 5a − 8✦ Variables together −2a −2a Opposite side = Opposite operation −3 = 3a − 8 ✦ Moving the smallest avoids dividing by a negative.✦ Isolate variable term.
17. 17. Solve: 2a − 3 = 5a − 8✦ Variables together −2a −2a Opposite side = Opposite operation −3 = 3a − 8 ✦ Moving the smallest +8 +8 avoids dividing by a negative.✦ Isolate variable term.
18. 18. Solve: 2a − 3 = 5a − 8✦ Variables together −2a −2a Opposite side = Opposite operation −3 = 3a − 8 ✦ Moving the smallest +8 +8 avoids dividing by a negative. 5 = 3a✦ Isolate variable term.
19. 19. Solve: 2a − 3 = 5a − 8✦ Variables together −2a −2a Opposite side = Opposite operation −3 = 3a − 8 ✦ Moving the smallest +8 +8 avoids dividing by a negative. 5 = 3a✦ Isolate variable term.✦ Divide by variables coefﬁcient to make coefﬁcient of variable 1.
20. 20. Solve: 2a − 3 = 5a − 8✦ Variables together −2a −2a Opposite side = Opposite operation −3 = 3a − 8 ✦ Moving the smallest +8 +8 avoids dividing by a negative. 5 = 3a Isolate variable term. 3 3✦✦ Divide by variables coefﬁcient to make coefﬁcient of variable 1.
21. 21. Solve: 2a − 3 = 5a − 8✦ Variables together −2a −2a Opposite side = Opposite operation −3 = 3a − 8 ✦ Moving the smallest +8 +8 avoids dividing by a negative. 5 = 3a Isolate variable term. 3 3✦✦ Divide by variables coefﬁcient to make 5 coefﬁcient of variable 1. =a 3
22. 22. Solve: −3( x − 2 ) = −7 ( x + 5 )
23. 23. Solve: −3( x − 2 ) = −7 ( x + 5 )✦ Distribute.
24. 24. Solve: −3( x − 2 ) = −7 ( x + 5 )✦ Distribute. −3x + 6 = −7x − 35
25. 25. Solve: −3( x − 2 ) = −7 ( x + 5 )✦ Distribute. −3x + 6 = −7x − 35✦ Variables together, moving smallest. Opposite side = Opposite operation
26. 26. Solve: −3( x − 2 ) = −7 ( x + 5 )✦ Distribute. −3x + 6 = −7x − 35✦ Variables together, +7x +7x moving smallest. Opposite side = Opposite operation
27. 27. Solve: −3( x − 2 ) = −7 ( x + 5 )✦ Distribute. −3x + 6 = −7x − 35✦ Variables together, +7x +7x moving smallest. Opposite side = 4x + 6 = −35 Opposite operation
28. 28. Solve: −3( x − 2 ) = −7 ( x + 5 )✦ Distribute. −3x + 6 = −7x − 35✦ Variables together, +7x +7x moving smallest. Opposite side = 4x + 6 = −35 Opposite operation✦ Isolate variable term.
29. 29. Solve: −3( x − 2 ) = −7 ( x + 5 )✦ Distribute. −3x + 6 = −7x − 35✦ Variables together, +7x +7x moving smallest. Opposite side = 4x + 6 = −35 Opposite operation✦ Isolate variable term.
30. 30. Solve: −3( x − 2 ) = −7 ( x + 5 )✦ Distribute. −3x + 6 = −7x − 35✦ Variables together, +7x +7x moving smallest. Opposite side = 4x + 6 = −35 Opposite operation −6 −6✦ Isolate variable term.
31. 31. Solve: −3( x − 2 ) = −7 ( x + 5 )✦ Distribute. −3x + 6 = −7x − 35✦ Variables together, +7x +7x moving smallest. Opposite side = 4x + 6 = −35 Opposite operation −6 −6✦ Isolate variable term. 4x = −41
32. 32. Solve: −3( x − 2 ) = −7 ( x + 5 )✦ Distribute. −3x + 6 = −7x − 35✦ Variables together, +7x +7x moving smallest. Opposite side = 4x + 6 = −35 Opposite operation −6 −6✦ Isolate variable term. 4x = −41✦ Divide to make coefﬁcient of variable 1.
33. 33. Solve: −3( x − 2 ) = −7 ( x + 5 )✦ Distribute. −3x + 6 = −7x − 35✦ Variables together, +7x +7x moving smallest. Opposite side = 4x + 6 = −35 Opposite operation −6 −6✦ Isolate variable term. 4x = −41✦ Divide to make 4 4 coefﬁcient of variable 1.
34. 34. Solve: −3( x − 2 ) = −7 ( x + 5 )✦ Distribute. −3x + 6 = −7x − 35✦ Variables together, +7x +7x moving smallest. Opposite side = 4x + 6 = −35 Opposite operation −6 −6✦ Isolate variable term. 4x = −41✦ Divide to make 4 4 coefﬁcient of variable 1. 41 x=− 4
35. 35. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)
36. 36. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute.
37. 37. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute. 18x + 27 − 5 = −x + 3
38. 38. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute. 18x + 27 − 5 = −x + 3✦ Combine like terms on left side.
39. 39. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute. 18x + 27 − 5 = −x + 3✦ Combine like terms on 18x + 22 = −x + 3 left side.
40. 40. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute. 18x + 27 − 5 = −x + 3✦ Combine like terms on 18x + 22 = −x + 3 left side.✦ Variables together, moving smallest. Opposite side = Opposite operation
41. 41. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute. 18x + 27 − 5 = −x + 3✦ Combine like terms on 18x + 22 = −x + 3 left side. +1x +1x✦ Variables together, moving smallest. Opposite side = Opposite operation
42. 42. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute. 18x + 27 − 5 = −x + 3✦ Combine like terms on 18x + 22 = −x + 3 left side. +1x +1x✦ Variables together, moving smallest. 19x + 22 = 3 Opposite side = Opposite operation
43. 43. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute. 18x + 27 − 5 = −x + 3✦ Combine like terms on 18x + 22 = −x + 3 left side. +1x +1x✦ Variables together, moving smallest. 19x + 22 = 3 Opposite side = Opposite operation✦ Isolate variable term.
44. 44. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute. 18x + 27 − 5 = −x + 3✦ Combine like terms on 18x + 22 = −x + 3 left side. +1x +1x✦ Variables together, moving smallest. 19x + 22 = 3 Opposite side = Opposite operation✦ Isolate variable term.
45. 45. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute. 18x + 27 − 5 = −x + 3✦ Combine like terms on 18x + 22 = −x + 3 left side. +1x +1x✦ Variables together, moving smallest. 19x + 22 = 3 Opposite side = −22 −22 Opposite operation✦ Isolate variable term.
46. 46. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute. 18x + 27 − 5 = −x + 3✦ Combine like terms on 18x + 22 = −x + 3 left side. +1x +1x✦ Variables together, moving smallest. 19x + 22 = 3 Opposite side = −22 −22 Opposite operation 19x = −19✦ Isolate variable term.
47. 47. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute. 18x + 27 − 5 = −x + 3✦ Combine like terms on 18x + 22 = −x + 3 left side. +1x +1x✦ Variables together, moving smallest. 19x + 22 = 3 Opposite side = −22 −22 Opposite operation 19x = −19✦ Isolate variable term.✦ Divide to make coefﬁcient of variable 1.
48. 48. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute. 18x + 27 − 5 = −x + 3✦ Combine like terms on 18x + 22 = −x + 3 left side. +1x +1x✦ Variables together, moving smallest. 19x + 22 = 3 Opposite side = −22 −22 Opposite operation 19x = −19✦ Isolate variable term. 19 19✦ Divide to make coefﬁcient of variable 1.
49. 49. Solve: 9 ( 2x + 3) − 5 = − ( x − 3)✦ Distribute. 18x + 27 − 5 = −x + 3✦ Combine like terms on 18x + 22 = −x + 3 left side. +1x +1x✦ Variables together, moving smallest. 19x + 22 = 3 Opposite side = −22 −22 Opposite operation 19x = −19✦ Isolate variable term. 19 19✦ Divide to make coefﬁcient of variable 1. x = −1