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

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

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

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

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

Reorder the terms:
-6 + 3x = 3 + -6 + -6x + 6x

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

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

Solving
-6 + 3x = -3

Solving for variable 'x'.

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

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

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

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

Divide each side by '3'.
x = 1

Simplifying
x = 1