Expressions and Equations

Math
Summary

Solving Equations Using Inverse Operations

Summary Solving Equations Using Inverse Operations

Sometimes, the equation will not start out simplified. If this is the case, simplify the equation before reversing the operations.

Example 4: Solve for x: 6x - 5 - 2x + 3 - 2 = 4

First, simplify the equation by combining like terms: 4x - 4 = 4

  1. Reverse subtraction: 4x - 4 + 4 = 4 + 4
    4x = 8
  2. Reverse multiplication: =
    x = 2
  3. No parentheses.

Check: 6(2) + 5 - 2(2) - 3 + 2 = 12 - 5 - 4 + 3 - 2 = 4

Thus, x = 2