PuzzleM8 Learning games for families

Two-step equations

Solve 2x + 2 = 4

The aim is to get x on its own. Whatever we do to one side, we do to the other, so the equation stays balanced. This one takes 2 steps.

  1. 2x + 2 = 4The question.

  2. Step 1: Subtract 2 on both sides −2

    On the left, the x part has + 2 with it. Take 2 away from both sides to get rid of it.

    2x = 2

    On the left, the 2 cancels out.

    + 2 is undone by − 2.

  3. Step 2: Divide by 2 on both sides ÷2

    2x means 2 × x. Divide both sides by 2 to get x on its own.

    x = 1

    x is on its own. x = 1.

    Multiplying is undone by dividing.

Answer: x = 1

Check it

Put x = 1 back into the question. If both sides come to the same number, the answer is right.

Left side: 2x + 2 → 2 + 2 = 4

Right side: 4 → 4

✓ Both sides are 4, so x = 1 is right.

Now try it yourself

Solve this one in Algebra Balance. You choose each step, and it explains what happened, with hints if you get stuck.

Practise this in Algebra Balance

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