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Why does my child solve x + 5 = 12 as x = 17?

Your child adds to undo an addition, instead of subtracting.

Why children do it

Undoing adding 5 means taking 5 away, from both sides. Children who copy the sign they can see add 5 again, which moves x further from being on its own. x + 5 = 12 means x is 5 less than 12, so x = 7.

How to help at home

Ask what undoes adding a number. Taking it away does, so the same number is taken from both sides.

The right way

Solve: 3x + 5 = 20

  1. 3x = 15Subtract 5 from both sides.
  2. x = 5Divide both sides by 3.

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