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Section 3.4
P. 154 - 157
   Some equations have variables on both sides.
    To solve such equations, you will first collect
    the variable terms on the side with the greater
    variable coefficient.

   However, many students will find they like to
    still bring the variables over to the left-hand
    side of the equation.
   To get a “term” moved from one side to the
    other, you will use the add/subt
    transformation. You move a variable term the
    same way you move a constant term – by
    adding the opposite.
   64 – 12 x = 6x
   64 – 12 x = 6x

    64 – 12 x + 12x = 6x + 12x
                             Collect variables
    64 + 0 = 18 x         Simplify
    64      = 18x
    18          18       Division
     32     = x           Simplify
       9
17 – 2x = 6x + 9
2/5(10x + 15) = 18 – 4(x – 3)
3x – 6 + 5x = -10x + 30
   Assignment: P. 157
                (#3-14, 17 (writing) )
          Show ALL STEPS!!
          Mentally check solutions

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3.4 solve equations with variables on both sides day 1

  • 2. Some equations have variables on both sides. To solve such equations, you will first collect the variable terms on the side with the greater variable coefficient.  However, many students will find they like to still bring the variables over to the left-hand side of the equation.
  • 3. To get a “term” moved from one side to the other, you will use the add/subt transformation. You move a variable term the same way you move a constant term – by adding the opposite.  64 – 12 x = 6x
  • 4. 64 – 12 x = 6x  64 – 12 x + 12x = 6x + 12x Collect variables 64 + 0 = 18 x Simplify 64 = 18x 18 18 Division 32 = x Simplify 9
  • 5. 17 – 2x = 6x + 9
  • 6. 2/5(10x + 15) = 18 – 4(x – 3)
  • 7. 3x – 6 + 5x = -10x + 30
  • 8. Assignment: P. 157 (#3-14, 17 (writing) ) Show ALL STEPS!! Mentally check solutions