3(2(x-3)+3(2-x))=x+8

Solution for 3(2(x-3)+3(2-x))=x+8 equation:

Simplifying
3(2(x + -3) + 3(2 + -1x)) = x + 8

Reorder the terms:
3(2(-3 + x) + 3(2 + -1x)) = x + 8
3((-3 * 2 + x * 2) + 3(2 + -1x)) = x + 8
3((-6 + 2x) + 3(2 + -1x)) = x + 8
3(-6 + 2x + (2 * 3 + -1x * 3)) = x + 8
3(-6 + 2x + (6 + -3x)) = x + 8

Reorder the terms:
3(-6 + 6 + 2x + -3x) = x + 8

Combine like terms: -6 + 6 = 0
3(0 + 2x + -3x) = x + 8
3(2x + -3x) = x + 8

Combine like terms: 2x + -3x = -1x
3(-1x) = x + 8

Remove parenthesis around (-1x)
3 * -1x = x + 8

Multiply 3 * -1
-3x = x + 8

Reorder the terms:
-3x = 8 + x

Solving
-3x = 8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3x + -1x = 8 + x + -1x

Combine like terms: -3x + -1x = -4x
-4x = 8 + x + -1x

Combine like terms: x + -1x = 0
-4x = 8 + 0
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2