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

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

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

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

Solving
6 + -6x = -6 + 6x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '-12'.
x = 1

Simplifying
x = 1