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

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

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

Reorder the terms:
6(1 + -1x) = -2(-3 + -6x)
(1 * 6 + -1x * 6) = -2(-3 + -6x)
(6 + -6x) = -2(-3 + -6x)
6 + -6x = (-3 * -2 + -6x * -2)
6 + -6x = (6 + 12x)

Add '-6' to each side of the equation.
6 + -6 + -6x = 6 + -6 + 12x

Combine like terms: 6 + -6 = 0
0 + -6x = 6 + -6 + 12x
-6x = 6 + -6 + 12x

Combine like terms: 6 + -6 = 0
-6x = 0 + 12x
-6x = 12x

Solving
-6x = 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-6x + -12x = 12x + -12x

Combine like terms: -6x + -12x = -18x
-18x = 12x + -12x

Combine like terms: 12x + -12x = 0
-18x = 0

Divide each side by '-18'.
x = 0

Simplifying
x = 0