-3(x-2)=-8(-3x-8)

Solution for -3(x-2)=-8(-3x-8) equation:

Simplifying
-3(x + -2) = -8(-3x + -8)

Reorder the terms:
-3(-2 + x) = -8(-3x + -8)
(-2 * -3 + x * -3) = -8(-3x + -8)
(6 + -3x) = -8(-3x + -8)

Reorder the terms:
6 + -3x = -8(-8 + -3x)
6 + -3x = (-8 * -8 + -3x * -8)
6 + -3x = (64 + 24x)

Solving
6 + -3x = 64 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
6 + -3x + -24x = 64 + 24x + -24x

Combine like terms: -3x + -24x = -27x
6 + -27x = 64 + 24x + -24x

Combine like terms: 24x + -24x = 0
6 + -27x = 64 + 0
6 + -27x = 64

Add '-6' to each side of the equation.
6 + -6 + -27x = 64 + -6

Combine like terms: 6 + -6 = 0
0 + -27x = 64 + -6
-27x = 64 + -6

Combine like terms: 64 + -6 = 58
-27x = 58

Divide each side by '-27'.
x = -2.148148148

Simplifying
x = -2.148148148