Solve (x + 10)/4 = 6 (Step by Step)

How to solve the two-step equation (x + 10)/4 = 6, where x + 10 is divided by 4, with every step explained and a quick check of the answer.

Here 10 is added to x first, and then the whole thing is divided by 4. Undo them in reverse order: undo the divide by 4 by multiplying by 4, then take away the 10.

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Step-by-step solution

Solve (x + 10)/4 = 6

Start with the equation: (x + 10)/4 = 6.
Multiply both sides by 4 to undo the ÷ 4: ((x + 10)/4) × 4 = 6 × 4, so x + 10 = 24.
Subtract 10 from both sides to undo the + 10: x + 10 − 10 = 24 − 10, so x = 14.
Check your answer: put x = 14 back in. (14 + 10)/4 = 24/4 = 6. Both sides match, so x = 14 is correct. ✓

Answer: x = 14

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Frequently asked questions

Why multiply by 4 first?

The brackets mean the whole x + 10 is divided by 4. Dividing happened last, so it is undone first: multiply both sides by 4 to get x + 10 = 24.

Can I subtract 10 first?

Not straight away. The 10 is inside the brackets and is being divided by 4 along with x, so you would have to take away 10/4 = 2.5 instead: x/4 = 3.5, which still gives x = 14.

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