Open a solver

One line at a time, with the reason

A solver never hands over the answer. It shows each legal move and why you are allowed to make it.

The question

Solve 3x − 7 = 11.

Method, step by step

  1. 1

    Goal: get x alone on one side.

  2. 2

    The −7 is furthest from x, so undo it first. Add 7 to both sides: 3x = 18. (Reason: adding the same amount to both sides keeps the balance.)

  3. 3

    Now x is multiplied by 3. Undo it by dividing both sides by 3: x = 6.

  4. 4

    Substitute back to check: 3 × 6 − 7 = 18 − 7 = 11. ✓

Answer

x = 6

Why it works

Undo operations in reverse order — addition/subtraction first, then multiplication/division. Whatever you do to one side, do to the other.

Try these next

  • 5x + 4 = 29
  • 2(x − 3) = 14
  • (x / 4) + 6 = 10
Practise this properly