Solve for x.

3(x + 1) = 5(x − 2) + 7

3(x + 1) = 5(x − 2) + 7

Solve for x.

3(x + 1) = 5(x − 2) + 7

3(x + 1) = 5(x − 2) + 7

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