Skills · Linear Equations · Solving Linear Equations

Multi-step equations: with distribution

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

Sample Sheet · Level 1

  1. 4(x + 3) + 2x = 48
  2. 0 = 4(x + 5) + x
  3. −15 = 4(x − 6) − x
  4. 3(7 + x) + 3x = 9
  5. 7(3 + x) = 3x + 57
  6. 9(x + 4) = 6x + 42
  7. 7(x + 6) = 3x + 74
  8. x − 6 = 3(x + 4)

Answer key

  1. x = 6
  2. x = −4
  3. x = 3
  4. x = −2
  5. x = 9
  6. x = 2
  7. x = 8
  8. x = −9

Sample Sheet · Level 3

  1. 11x − 2(x + 7) = −27
  2. 6x − 4(x + 1) = −9
  3. 46 = 4x − (x − 7)
  4. 3(7 + 3x) − 6x = −48
  5. 3(3x − 6) + x = −58
  6. 3(3x + 6) − 4x = 28
  7. 3(2x − 4) = 10x − 80
  8. 4x − 44 = 8(x − 2)

Answer key

  1. x = −139 = −149
  2. x = −52 = −212
  3. x = 13
  4. x = −23
  5. x = −4
  6. x = 2
  7. x = 17
  8. x = −7

Make your own

Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.

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