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Distribute Then Solve!
 Same Side Combine!
Write down these three equations:

1.   4x – 10 = 18

2.   6x – 10 – 2x = 18

3.   2(2x – 5) = 18
 First,   solve Equation #1.

4x – 10 = 18
   + 10 + 10
4x      = 28
     4x = 28
      4   4

      x=7
Equation #2                  Equation #3
 6x – 10 – 2x = 18             2(2x – 5) = 18

First, combine like           First, distribute.
        terms.
                          2(2x) – 2(5) = 4x – 10, so
 6x – 2x = 4x, so
                                 4x – 10 = 18
    4x – 10 = 18

It’s the same equation!      It’s the same equation!
When there are two    When there is a
  variables on the    number outside
     same side:        parentheses:


 SAME SIDE           DISTRIBUTE
  COMBINE!               THEN
                        SOLVE!

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Multi step equations

  • 1. Distribute Then Solve! Same Side Combine!
  • 2. Write down these three equations: 1. 4x – 10 = 18 2. 6x – 10 – 2x = 18 3. 2(2x – 5) = 18
  • 3.  First, solve Equation #1. 4x – 10 = 18 + 10 + 10 4x = 28 4x = 28 4 4 x=7
  • 4. Equation #2 Equation #3 6x – 10 – 2x = 18 2(2x – 5) = 18 First, combine like First, distribute. terms. 2(2x) – 2(5) = 4x – 10, so 6x – 2x = 4x, so 4x – 10 = 18 4x – 10 = 18 It’s the same equation! It’s the same equation!
  • 5. When there are two When there is a variables on the number outside same side: parentheses: SAME SIDE DISTRIBUTE COMBINE! THEN SOLVE!