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Home > CCA > Chapter 3 > Lesson 3.3.3 > Problem 3-107

3-107.

Solve each equation. Homework Help ✎

  • Distribute the 3 over the parentheses.
    3(x) − 3(2) = −6
    3x − 6 = −6

  • Add 6 to both sides.
    3x − 6 + 6 = −6 + 6
    3x = 0
    Divide both sides by 3.
    3x ÷ 3 = 0 ÷ 3

  • x = 0

  • Simplify both sides.
    2x + 2 + 3 = 3x − 3
    2x + 5 = 3x − 3

  • Add 3 to both sides leave only one constant.
    2x + 5 + 3 = 3x − 3 + 3
    2x + 8 = 3x
    Then take 2x from both sides to isolate x.
    2x + 8 −2x = 3x − 2x

  • x = 8

  • Start by using generic rectangles to rewrite both sides without parentheses. Then solve using the same method as (b).

  • See problem CCA 3-99 for help with this equation.