4-3(6x-4)+3x=2(x-8)+x

Solution for 4-3(6x-4)+3x=2(x-8)+x equation:

Simplifying
4 + -3(6x + -4) + 3x = 2(x + -8) + x

Reorder the terms:
4 + -3(-4 + 6x) + 3x = 2(x + -8) + x
4 + (-4 * -3 + 6x * -3) + 3x = 2(x + -8) + x
4 + (12 + -18x) + 3x = 2(x + -8) + x

Combine like terms: 4 + 12 = 16
16 + -18x + 3x = 2(x + -8) + x

Combine like terms: -18x + 3x = -15x
16 + -15x = 2(x + -8) + x

Reorder the terms:
16 + -15x = 2(-8 + x) + x
16 + -15x = (-8 * 2 + x * 2) + x
16 + -15x = (-16 + 2x) + x

Combine like terms: 2x + x = 3x
16 + -15x = -16 + 3x

Solving
16 + -15x = -16 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
16 + -15x + -3x = -16 + 3x + -3x

Combine like terms: -15x + -3x = -18x
16 + -18x = -16 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + -18x = -16 + 0
16 + -18x = -16

Add '-16' to each side of the equation.
16 + -16 + -18x = -16 + -16

Combine like terms: 16 + -16 = 0
0 + -18x = -16 + -16
-18x = -16 + -16

Combine like terms: -16 + -16 = -32
-18x = -32

Divide each side by '-18'.
x = 1.777777778

Simplifying
x = 1.777777778