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Grade 9 Equations with Variables on Both Sides Worksheet with Answers

Grade 9 (US) · Year 10 (UK) · Class 9 (India) · Math

Unit 1: Equations & InequalitiesLinear EquationsCCSS A-REI.B.3

Solving multi-step linear equations, including ones with no solution or infinitely many solutions. This free high school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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Equations with Variables on Both Sides

Grade 9 · Math

Score___ / 12

Name

Class

Date

Learning goal: Linear Equations · CCSS A-REI.B.3

Directions: Solve each problem. Show your work, then write your answer in the box.

Example

Solve: 5x - 1 = -x + 59

Answer: x = 10

RememberSolving equations

x + 410An equation is a balance.Do the same to both sides:x + 4 = 10x + 4 − 4 = 10 − 4x = 6 Check: 6 + 4 = 10 ✓
  1. 1

    Solve: 4(x - 6) = 2x - 42

    Answer
  2. 2

    Solve: 6x - 12 = -3x - 66

    Answer
  3. 3

    Solve: 2x + 4 = x + 9

    Answer
  4. 4

    Solve: 4x + 3 = 2x + 7

    Answer
  5. 5

    Solve: 5(x - 6) = 4x - 23

    Answer
  6. 6

    Solve: 5x - 2 = 4x - 5

    Answer
  7. 7

    Solve: 9x - 11 = 4x - 6

    Answer
  8. 8

    Solve: 6x - 1 = 5x + 2

    Answer
  9. 9

    Solve: 5(x - 3) = 3x + 7

    Answer
  10. 10

    Solve: 5x - 7 = -2x - 49

    Answer
  11. 11

    Solve: 4x - 12 = 3x - 9

    Answer
  12. 12

    Solve: 9x + 10 = 6x - 11

    Answer

★ Challenge corner for fast finishers

The sum of 4 consecutive integers is 46. What is the largest of them?

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/9/multi_step_equations

Answer key (click to show)
  1. 1.x = -9
  2. 2.x = -6
  3. 3.x = 5
  4. 4.x = 2
  5. 5.x = 7
  6. 6.x = -3
  7. 7.x = 1
  8. 8.x = 3
  9. 9.x = 11
  10. 10.x = -6
  11. 11.x = 3
  12. 12.x = -7
  13. ★13 (challenge corner)

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