Solve x/3 + 4 = 10 (Step by Step)

How to solve the two-step equation x/3 + 4 = 10, where x is divided by 3, with every step explained and a quick check of the answer.

Here x is divided by 3 and then has 4 added. Undo them in reverse order: take away the 4 first, then undo the divide by 3 by multiplying by 3.

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Step-by-step solution

Solve x/3 + 4 = 10

Start with the equation: x/3 + 4 = 10.
Subtract 4 from both sides to undo the + 4: x/3 + 4 − 4 = 10 − 4, so x/3 = 6.
Multiply both sides by 3 to undo the ÷ 3: (x/3) × 3 = 6 × 3, so x = 18.
Check your answer: put x = 18 back in. 18/3 + 4 = 6 + 4 = 10. Both sides match, so x = 18 is correct. ✓

Answer: x = 18

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Multiply by 3. Multiplying and dividing undo each other, so (x/3) × 3 is just x.

The 4 was added last, so it is undone first. If you multiply by 3 first, you must multiply every term: x + 12 = 30, which still gives x = 18.

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