-4(7x-8)=-(x-5)

Solution for -4(7x-8)=-(x-5) equation:

Simplifying
-4(7x + -8) = -1(x + -5)

Reorder the terms:
-4(-8 + 7x) = -1(x + -5)
(-8 * -4 + 7x * -4) = -1(x + -5)
(32 + -28x) = -1(x + -5)

Reorder the terms:
32 + -28x = -1(-5 + x)
32 + -28x = (-5 * -1 + x * -1)
32 + -28x = (5 + -1x)

Solving
32 + -28x = 5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
32 + -28x + x = 5 + -1x + x

Combine like terms: -28x + x = -27x
32 + -27x = 5 + -1x + x

Combine like terms: -1x + x = 0
32 + -27x = 5 + 0
32 + -27x = 5

Add '-32' to each side of the equation.
32 + -32 + -27x = 5 + -32

Combine like terms: 32 + -32 = 0
0 + -27x = 5 + -32
-27x = 5 + -32

Combine like terms: 5 + -32 = -27
-27x = -27

Divide each side by '-27'.
x = 1

Simplifying
x = 1