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Solving Equations with Variables on Both Sides Worksheet

This Solving Equations with Variables on Both Sides Worksheet gives 5th graders six equations to solve for x by collecting variable terms on one side. Includes a complete answer key—perfect for focused, no-prep algebra practice.

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About this resource

Description

Solving equations with variables on both sides is a key pre-algebra skill, and this Solving Equations with Variables on Both Sides Worksheet gives fifth graders a clear, step-by-step way to practice it. When a variable like x appears on both sides of the equal sign, students learn to move the variable terms to one side and the number terms to the other, keeping the equation balanced at every step. Building this habit now gives kids the confidence they need for the algebra they will meet in the years ahead.

This 5th grade algebra worksheet presents six equations, each with the variable on both sides of the equal sign. Students work through every problem in the space provided—combining like terms, undoing addition or subtraction, and dividing to find the value of x—then write the answer on the line. Use it for guided instruction, independent practice, a math-center challenge, or homework, and lean on the answer key to review each step together.

What’s Included

  • 1 print-ready PDF worksheet
  • Answer key
  • 6 solve-for-x equations with variables on both sides

This Solving Equations with Variables on Both Sides Worksheet helps students in three ways. First, the consistent format teaches a dependable routine—collect the variables, collect the numbers, then solve—so kids are not guessing. Second, the built-in work space encourages students to show each step, which makes their thinking visible and easier to correct. Third, the included answer key lets learners check their value of x right away, turning every mistake into a quick, low-stress lesson.

To reinforce the skill, have students check each answer by substituting their value of x back into the original equation to see that both sides are equal. Turn a few problems into a partner challenge where each student solves and then explains their steps aloud. You can also build equations from a balance-scale model using counters, showing that whatever you do to one side you must do to the other. For extra practice, ask kids to write their own two-sided equation and trade with a friend to solve.

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