-(x+5)-8(1-2x)=32

Solution for -(x+5)-8(1-2x)=32 equation:

Simplifying
-1(x + 5) + -8(1 + -2x) = 32

Reorder the terms:
-1(5 + x) + -8(1 + -2x) = 32
(5 * -1 + x * -1) + -8(1 + -2x) = 32
(-5 + -1x) + -8(1 + -2x) = 32
-5 + -1x + (1 * -8 + -2x * -8) = 32
-5 + -1x + (-8 + 16x) = 32

Reorder the terms:
-5 + -8 + -1x + 16x = 32

Combine like terms: -5 + -8 = -13
-13 + -1x + 16x = 32

Combine like terms: -1x + 16x = 15x
-13 + 15x = 32

Solving
-13 + 15x = 32

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 15x = 32 + 13

Combine like terms: -13 + 13 = 0
0 + 15x = 32 + 13
15x = 32 + 13

Combine like terms: 32 + 13 = 45
15x = 45

Divide each side by '15'.
x = 3

Simplifying
x = 3