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

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

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

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

Remove parenthesis around (-3 + x)
x = (-3 + x + (2x + -2)) * 2

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

Remove parenthesis around (-2 + 2x)
x = (-3 + x + -2 + 2x) * 2

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

Combine like terms: -3 + -2 = -5
x = (-5 + x + 2x) * 2

Combine like terms: x + 2x = 3x
x = (-5 + 3x) * 2

Reorder the terms for easier multiplication:
x = 2(-5 + 3x)
x = (-5 * 2 + 3x * 2)
x = (-10 + 6x)

Solving
x = -10 + 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.
x + -6x = -10 + 6x + -6x

Combine like terms: x + -6x = -5x
-5x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5x = -10 + 0
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2