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Mathematics · Grades 8–10

Equations with x on both sides

Perform the same operation on both sides. Here a is different from c.

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The key idea

Perform the same operation on both sides. Here a is different from c.

ax + b = cx + d → (a − c)x = d − b

Worked examples

Solve: 9x + 19 = 2x + 68.

7x = 49 → x = 7

7

Solve: 12x + 12 = 2x + 32.

10x = 20 → x = 2

2

Try it yourself

  1. Solve: 7x + 15 = 2x + 25.

  2. Solve: 12x + 1 = 4x + 89.

Check your understanding

Answers and marking notes
  1. 2

    5x = 10 → x = 2

  2. 11

    8x = 88 → x = 11

Further reading and review references

These are reference links, not copied exercises, institutional endorsement or proof of independent review.

Learning preview · teacher review required. Grade bands are approximate, not official curriculum alignment.