Solve for x: 3(x + 1) = 5(x − 2) + 7.
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Detailed 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
3x + 6 = 5x
6 = 2x
3 = x
3(x + 1) = 5(x − 2) + 7
3x + 3 = 5x − 10 + 7
3x + 3 = 5x − 3
3x + 6 = 5x
6 = 2x
3 = x
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