3(2x-2)-8=4(x-1)+6-2x

Solution for 3(2x-2)-8=4(x-1)+6-2x equation:

Simplifying
3(2x + -2) + -8 = 4(x + -1) + 6 + -2x

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

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

Combine like terms: -6 + -8 = -14
-14 + 6x = 4(x + -1) + 6 + -2x

Reorder the terms:
-14 + 6x = 4(-1 + x) + 6 + -2x
-14 + 6x = (-1 * 4 + x * 4) + 6 + -2x
-14 + 6x = (-4 + 4x) + 6 + -2x

Reorder the terms:
-14 + 6x = -4 + 6 + 4x + -2x

Combine like terms: -4 + 6 = 2
-14 + 6x = 2 + 4x + -2x

Combine like terms: 4x + -2x = 2x
-14 + 6x = 2 + 2x

Solving
-14 + 6x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-14 + 6x + -2x = 2 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-14 + 4x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-14 + 4x = 2 + 0
-14 + 4x = 2

Add '14' to each side of the equation.
-14 + 14 + 4x = 2 + 14

Combine like terms: -14 + 14 = 0
0 + 4x = 2 + 14
4x = 2 + 14

Combine like terms: 2 + 14 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4