Two-step equations

  • Level: Grade 7
  • Free
  • Printable
  • Answer key included

Each equation has the form ax + b = c or ax − b = c. Students undo the addition or subtraction first, then the multiplication. All solutions are whole numbers. Two-step equations are a seventh-grade standard (Common Core 7.EE.B.4).

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Grade 7
Two-step equations

Solve for x. Show your steps.

Name Date Score / 14
  1. 1.
    3x − 9 = 15x =
  2. 2.
    7x + 20 = 55x =
  3. 3.
    3x − 6 = 33x =
  4. 4.
    5x − 15 = 35x =
  5. 5.
    3x − 9 = 6x =
  6. 6.
    8x − 12 = 36x =
  7. 7.
    7x − 3 = 67x =
  8. 8.
    6x − 12 = 72x =
  9. 9.
    8x − 20 = 12x =
  10. 10.
    3x + 18 = 54x =
  11. 11.
    5x + 7 = 32x =
  12. 12.
    9x − 8 = 82x =
  13. 13.
    9x − 18 = 45x =
  14. 14.
    6x − 12 = 42x =
MathSheetLab · mathlabs.pages.devWorksheet #711492
Grade 7
Two-step equationsAnswer key
  1. 1.
    3x − 9 = 15x = 8
  2. 2.
    7x + 20 = 55x = 5
  3. 3.
    3x − 6 = 33x = 13
  4. 4.
    5x − 15 = 35x = 10
  5. 5.
    3x − 9 = 6x = 5
  6. 6.
    8x − 12 = 36x = 6
  7. 7.
    7x − 3 = 67x = 10
  8. 8.
    6x − 12 = 72x = 14
  9. 9.
    8x − 20 = 12x = 4
  10. 10.
    3x + 18 = 54x = 12
  11. 11.
    5x + 7 = 32x = 5
  12. 12.
    9x − 8 = 82x = 10
  13. 13.
    9x − 18 = 45x = 7
  14. 14.
    6x − 12 = 42x = 9
MathSheetLab · mathlabs.pages.devWorksheet #711492

About this worksheet

Each sheet contains 10, 14 or 20 problems (your choice) and is generated at random. Press “New problems” as many times as you like; there is no limit and no account needed.

Worked example

8x − 7 = 113x =
  1. Undo the subtraction first: add 7 on both sides. 8x = 113 + 7 = 120.
  2. Undo the multiplication: divide both sides by 8. x = 120 ÷ 8 = 15.
  3. Check: 8 × 15 − 7 = 113.

Answer: 15

Teaching tips

  • Undo operations in the reverse order of the order of operations: first + or −, then × or ÷.

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