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

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

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

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

Combine like terms: -3x + 4x = 1x
6 + -6x = 6 + 1x

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

Combine like terms: 6 + -6 = 0
0 + -6x = 6 + -6 + 1x
-6x = 6 + -6 + 1x

Combine like terms: 6 + -6 = 0
-6x = 0 + 1x
-6x = 1x

Solving
-6x = 1x

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.
-6x + -1x = 1x + -1x

Combine like terms: -6x + -1x = -7x
-7x = 1x + -1x

Combine like terms: 1x + -1x = 0
-7x = 0

Divide each side by '-7'.
x = 0

Simplifying
x = 0