Solving Equations with Variables on Both Side

Build your algebra confidence with Solving Equations with Variables on Both Sides! This essential playsheet helps you understand how to simplify and balance equations when the variable appears on both sides of the equal sign. You’ll learn the logic behind each step and discover how balance is the key to every solution.

You’ll start by solving equations like 3x + 5 = 2x + 9 or 4x – 7 = 2x + 5. Your goal is to get all variables on one side and numbers on the other. To do that, you’ll use addition or subtraction to move variable terms, then apply multiplication or division to isolate the variable completely. Each problem helps you practice keeping both sides of the equation equal — no matter what steps you take.

As you work, you’ll see how moving terms carefully and combining like terms makes solving smoother. You’ll also learn how to check your answers by substituting them back into the original equation to make sure both sides match. This process helps you think critically and understand why each step works — not just how.