Solving Equations with Variables on Both Sides

8th Grade•30 minutes•8.EE.C.7

Learning Objective

I can solve equations with variables on both sides by using inverse operations.

The first step in solving the equation is to clear the parentheses by distributing the numbers outside the parentheses.

To isolate the variable term, you must undo the addition by subtracting 66 on both sides of the equation, resulting in 14x = -34.

To verify the solution, substitute -17/7 for x in the original equation to ensure that the left side of the equation equals the right side.

This lesson includes 3 practice questions to reinforce learning.

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1. Solve for x: 5x + 3 = 2x - 9

2. Which operation should you perform on both sides of the equation first to solve for x in the following equation: 8x - 5 = 3x + 10?

3. Solve for x and simplify the fraction: 6x + 4 = -2x - 8

Ex 2: Solve a Multiple Step Equation with Parentheses and Variables on Both Sides

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