Solve for x: 3(x + 1) = 5(x − 2) + 7

3

Explanation

Begin by distributing the 3 and the 5 through their respective parentheses, then combine like terms on each side of the equal sign:
3(x + 1) = 5(x − 2) + 7
3x + 3 = 5x − 10 + 7
3x + 3 = 5x − 3

Add 3 to both sides to maintain the equality:
3x + 6 = 5x

Subtract 3x from both sides and then divide the resulting equation by 2 to solve for x as follows:
6 = 2x
3 = x

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