x-2(x-3)=5x+3(2x+2)

Solution for x-2(x-3)=5x+3(2x+2) equation:

Simplifying
x + -2(x + -3) = 5x + 3(2x + 2)

Reorder the terms:
x + -2(-3 + x) = 5x + 3(2x + 2)
x + (-3 * -2 + x * -2) = 5x + 3(2x + 2)
x + (6 + -2x) = 5x + 3(2x + 2)

Reorder the terms:
6 + x + -2x = 5x + 3(2x + 2)

Combine like terms: x + -2x = -1x
6 + -1x = 5x + 3(2x + 2)

Reorder the terms:
6 + -1x = 5x + 3(2 + 2x)
6 + -1x = 5x + (2 * 3 + 2x * 3)
6 + -1x = 5x + (6 + 6x)

Reorder the terms:
6 + -1x = 6 + 5x + 6x

Combine like terms: 5x + 6x = 11x
6 + -1x = 6 + 11x

Add '-6' to each side of the equation.
6 + -6 + -1x = 6 + -6 + 11x

Combine like terms: 6 + -6 = 0
0 + -1x = 6 + -6 + 11x
-1x = 6 + -6 + 11x

Combine like terms: 6 + -6 = 0
-1x = 0 + 11x
-1x = 11x

Solving
-1x = 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-1x + -11x = 11x + -11x

Combine like terms: -1x + -11x = -12x
-12x = 11x + -11x

Combine like terms: 11x + -11x = 0
-12x = 0

Divide each side by '-12'.
x = 0

Simplifying
x = 0