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Equations and expressions · Grades 8 to 9

Equations with variables on both sides worksheet generator

Make worksheets for solving equations with variables on both sides, like 4x + 12 = x + 30. Answers are whole numbers, and you can include negatives.

Equations with variables on both sidesLetter 8.5 × 11 in · answer key on the last page
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Equations with variables on both sides
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Solve for x. Move the x-terms to one side first.

  1. 1.8x + 11 = 3x + 21
  2. 2.4x + 9 = 6x − 1
  3. 3.2x + 15 = 6x + 3
  4. 4.5x + 14 = 2x + 17
  5. 5.3x + 8 = 7x − 32
  6. 6.5x + 8 = 6x + 5
  7. 7.5x + 7 = 6x + 4
  8. 8.2x + 11 = 7x − 4
  9. 9.7x + 13 = 8x + 12
  10. 10.8x + 11 = 7x + 14
  11. 11.5x + 6 = 2x + 12
  12. 12.7x + 9 = 8x + 6
nation1.netSheet 141252700
Equations with variables on both sides
Answer key
  1. 1.8x + 11 = 3x + 21x = 2
  2. 2.4x + 9 = 6x − 1x = 5
  3. 3.2x + 15 = 6x + 3x = 3
  4. 4.5x + 14 = 2x + 17x = 1
  5. 5.3x + 8 = 7x − 32x = 10
  6. 6.5x + 8 = 6x + 5x = 3
  7. 7.5x + 7 = 6x + 4x = 3
  8. 8.2x + 11 = 7x − 4x = 3
  9. 9.7x + 13 = 8x + 12x = 1
  10. 10.8x + 11 = 7x + 14x = 3
  11. 11.5x + 6 = 2x + 12x = 2
  12. 12.7x + 9 = 8x + 6x = 3
nation1.netSheet 141252700 · answers
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About this worksheet

Move all the x-terms to one side by subtracting the smaller x-term from both sides, then solve the two-step equation that is left. 4x + 12 = x + 30 becomes 3x + 12 = 30, so x = 6.

Teaching tip

Moving the smaller x-term keeps the coefficient positive, which avoids a lot of sign errors.

How to use the generator

Change the settings and the sheet updates as you go. New worksheet gives a fresh set of problems with a new answer key. Print or save PDF opens your browser's print window: pick Letter paper and 100% scale, or Save as PDF to keep a copy.