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Why does my child think 5x + 3 = 2x + 15 gives 7x?

Your child adds the x terms from both sides instead of subtracting one from the other.

Why children do it

With x on both sides, children know the x terms need to come together, and adding is the first thing they try. But to clear x from one side, the smaller x term is taken away from both sides: 5x − 2x leaves 3x, so 3x + 3 = 15.

How to help at home

To bring the x terms together, take the smaller one away from both sides, rather than adding them.

The right way

Solve: 5x + 3 = 2x + 15

  1. 3x + 3 = 15Subtract 2x from both sides.
  2. 3x = 12Subtract 3 from both sides.
  3. x = 4Divide both sides by 3.

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