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

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

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

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

Solving
-3 + 3x = 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.
-3 + 3x + 6x = 6 + -6x + 6x

Combine like terms: 3x + 6x = 9x
-3 + 9x = 6 + -6x + 6x

Combine like terms: -6x + 6x = 0
-3 + 9x = 6 + 0
-3 + 9x = 6

Add '3' to each side of the equation.
-3 + 3 + 9x = 6 + 3

Combine like terms: -3 + 3 = 0
0 + 9x = 6 + 3
9x = 6 + 3

Combine like terms: 6 + 3 = 9
9x = 9

Divide each side by '9'.
x = 1

Simplifying
x = 1