-3(x-2)+2x=-(x-3)+4(-2x-8)

Solution for -3(x-2)+2x=-(x-3)+4(-2x-8) equation:

Simplifying
-3(x + -2) + 2x = -1(x + -3) + 4(-2x + -8)

Reorder the terms:
-3(-2 + x) + 2x = -1(x + -3) + 4(-2x + -8)
(-2 * -3 + x * -3) + 2x = -1(x + -3) + 4(-2x + -8)
(6 + -3x) + 2x = -1(x + -3) + 4(-2x + -8)

Combine like terms: -3x + 2x = -1x
6 + -1x = -1(x + -3) + 4(-2x + -8)

Reorder the terms:
6 + -1x = -1(-3 + x) + 4(-2x + -8)
6 + -1x = (-3 * -1 + x * -1) + 4(-2x + -8)
6 + -1x = (3 + -1x) + 4(-2x + -8)

Reorder the terms:
6 + -1x = 3 + -1x + 4(-8 + -2x)
6 + -1x = 3 + -1x + (-8 * 4 + -2x * 4)
6 + -1x = 3 + -1x + (-32 + -8x)

Reorder the terms:
6 + -1x = 3 + -32 + -1x + -8x

Combine like terms: 3 + -32 = -29
6 + -1x = -29 + -1x + -8x

Combine like terms: -1x + -8x = -9x
6 + -1x = -29 + -9x

Solving
6 + -1x = -29 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
6 + -1x + 9x = -29 + -9x + 9x

Combine like terms: -1x + 9x = 8x
6 + 8x = -29 + -9x + 9x

Combine like terms: -9x + 9x = 0
6 + 8x = -29 + 0
6 + 8x = -29

Add '-6' to each side of the equation.
6 + -6 + 8x = -29 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = -29 + -6
8x = -29 + -6

Combine like terms: -29 + -6 = -35
8x = -35

Divide each side by '8'.
x = -4.375

Simplifying
x = -4.375