2(x+3)-5(x-1)=32

Solution for 2(x+3)-5(x-1)=32 equation:

Simplifying
2(x + 3) + -5(x + -1) = 32

Reorder the terms:
2(3 + x) + -5(x + -1) = 32
(3 * 2 + x * 2) + -5(x + -1) = 32
(6 + 2x) + -5(x + -1) = 32

Reorder the terms:
6 + 2x + -5(-1 + x) = 32
6 + 2x + (-1 * -5 + x * -5) = 32
6 + 2x + (5 + -5x) = 32

Reorder the terms:
6 + 5 + 2x + -5x = 32

Combine like terms: 6 + 5 = 11
11 + 2x + -5x = 32

Combine like terms: 2x + -5x = -3x
11 + -3x = 32

Solving
11 + -3x = 32

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-11' to each side of the equation.
11 + -11 + -3x = 32 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = 32 + -11
-3x = 32 + -11

Combine like terms: 32 + -11 = 21
-3x = 21

Divide each side by '-3'.
x = -7

Simplifying
x = -7