Solve 2(x + 3) = 10 (Step by Step)

How to solve the equation 2(x + 3) = 10 by multiplying out the brackets, with every step explained and a quick check of the answer.

The 2 outside the brackets multiplies everything inside. Multiply it out first (distribute), then solve the two-step equation that is left.

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Step-by-step solution

Solve 2(x + 3) = 10

Start with the equation: 2(x + 3) = 10.
Distribute the 2 to both terms in the brackets: 2 × x + 2 × 3 = 10, so 2x + 6 = 10.
Subtract 6 from both sides: 2x + 6 − 6 = 10 − 6, so 2x = 4.
Divide both sides by 2: 2x ÷ 2 = 4 ÷ 2, so x = 2.
Check your answer: put x = 2 back in. 2(2 + 3) = 2 × 5 = 10. Both sides match, so x = 2 is correct. ✓

Answer: x = 2

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Frequently asked questions

What is the most common mistake?

Multiplying only the x by 2 and forgetting the 3, which gives 2x + 3 = 10. The 2 multiplies every term inside the brackets, so it must be 2x + 6 = 10.

Can I divide by 2 first instead?

Yes. Dividing both sides by 2 gives x + 3 = 5, and subtracting 3 gives x = 2. Both ways give the same answer.

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