4x-2(x-3)=6x+3(2x+2)

Solution for 4x-2(x-3)=6x+3(2x+2) equation:

Simplifying
4x + -2(x + -3) = 6x + 3(2x + 2)

Reorder the terms:
4x + -2(-3 + x) = 6x + 3(2x + 2)
4x + (-3 * -2 + x * -2) = 6x + 3(2x + 2)
4x + (6 + -2x) = 6x + 3(2x + 2)

Reorder the terms:
6 + 4x + -2x = 6x + 3(2x + 2)

Combine like terms: 4x + -2x = 2x
6 + 2x = 6x + 3(2x + 2)

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

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

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

Add '-6' to each side of the equation.
6 + -6 + 2x = 6 + -6 + 12x

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

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

Solving
2x = 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
2x + -12x = 12x + -12x

Combine like terms: 2x + -12x = -10x
-10x = 12x + -12x

Combine like terms: 12x + -12x = 0
-10x = 0

Divide each side by '-10'.
x = 0.0

Simplifying
x = 0.0