-5[3(x-8)]=x

Solution for -5[3(x-8)]=x equation:

Simplifying
-5[3(x + -8)] = x

Reorder the terms:
-5[3(-8 + x)] = x
-5[(-8 * 3 + x * 3)] = x
-5[(-24 + 3x)] = x
[-24 * -5 + 3x * -5] = x
[120 + -15x] = x

Solving
120 + -15x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
120 + -15x + -1x = x + -1x

Combine like terms: -15x + -1x = -16x
120 + -16x = x + -1x

Combine like terms: x + -1x = 0
120 + -16x = 0

Add '-120' to each side of the equation.
120 + -120 + -16x = 0 + -120

Combine like terms: 120 + -120 = 0
0 + -16x = 0 + -120
-16x = 0 + -120

Combine like terms: 0 + -120 = -120
-16x = -120

Divide each side by '-16'.
x = 7.5

Simplifying
x = 7.5