PuzzleM8 Learning games for families

Two-step equations

Solve 4x + 14 = 54

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. 4x + 14 = 54The question.

  2. Step 1: Subtract 14 on both sides −14

    On the left, the x part has + 14 with it. Take 14 away from both sides to get rid of it.

    4x = 40

    On the left, the 14 cancels out.

    + 14 is undone by − 14.

  3. Step 2: Divide by 4 on both sides ÷4

    4x means 4 × x. Divide both sides by 4 to get x on its own.

    x = 10

    x is on its own. x = 10.

    Multiplying is undone by dividing.

Answer: x = 10

Check it

Put x = 10 back into the question. If both sides come to the same number, the answer is right.

Left side: 4x + 14 → 40 + 14 = 54

Right side: 54 → 54

✓ Both sides are 54, so x = 10 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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