2(x-3)-3(2-2x)=0

Solution for 2(x-3)-3(2-2x)=0 equation:

Simplifying
2(x + -3) + -3(2 + -2x) = 0

Reorder the terms:
2(-3 + x) + -3(2 + -2x) = 0
(-3 * 2 + x * 2) + -3(2 + -2x) = 0
(-6 + 2x) + -3(2 + -2x) = 0
-6 + 2x + (2 * -3 + -2x * -3) = 0
-6 + 2x + (-6 + 6x) = 0

Reorder the terms:
-6 + -6 + 2x + 6x = 0

Combine like terms: -6 + -6 = -12
-12 + 2x + 6x = 0

Combine like terms: 2x + 6x = 8x
-12 + 8x = 0

Solving
-12 + 8x = 0

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 8x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = 0 + 12
8x = 0 + 12

Combine like terms: 0 + 12 = 12
8x = 12

Divide each side by '8'.
x = 1.5

Simplifying
x = 1.5