Multi-Step Equations Worksheets

Solve linear equations by applying the same operation to both sides and check by substitution.

Before you begin

Use signed arithmetic, substitute values and read expressions with variables.

Worked example

Solve: 5(x + 9) = 70.

  1. Undo addition or move variable terms to one side.
  2. Undo multiplication or distribute as needed.
  3. Substitute x = 5 into the original equation to check.

Answer: x = 5

Check your result using the method in the example before moving to the next question.

Choose your level

  • Easy: Use positive integers and one-step relationships.
  • Medium: Use signed values or two steps.
  • Hard: Combine operations or reverse a relationship.

Questions and answer calculations checked on 2026-09-17. How we check worksheets. Free for personal and classroom use.

Preview and print an easy set

Try six questions below, or choose a full set at your level.

1
Solve: 3(x + 5) = 39.
2
Solve: 2(x + 5) = 34.
3
Solve: 2(x + 8) = 24.
4
Solve: 6(x + 11) = 90.
5
Solve: 8(x + 4) = 120.
6
Solve: 3(x + 2) = 12.

Answer Key

1. x = 82. x = 123. x = 44. x = 45. x = 116. x = 2

Full worksheet sets