2x-[4x-2(3-2x)]=4x+[3x-2(x-3)]

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

Simplifying
2x + -1[4x + -2(3 + -2x)] = 4x + [3x + -2(x + -3)]
2x + -1[4x + (3 * -2 + -2x * -2)] = 4x + [3x + -2(x + -3)]
2x + -1[4x + (-6 + 4x)] = 4x + [3x + -2(x + -3)]

Reorder the terms:
2x + -1[-6 + 4x + 4x] = 4x + [3x + -2(x + -3)]

Combine like terms: 4x + 4x = 8x
2x + -1[-6 + 8x] = 4x + [3x + -2(x + -3)]
2x + [-6 * -1 + 8x * -1] = 4x + [3x + -2(x + -3)]
2x + [6 + -8x] = 4x + [3x + -2(x + -3)]

Reorder the terms:
6 + 2x + -8x = 4x + [3x + -2(x + -3)]

Combine like terms: 2x + -8x = -6x
6 + -6x = 4x + [3x + -2(x + -3)]

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

Reorder the terms:
6 + -6x = 4x + [6 + 3x + -2x]

Combine like terms: 3x + -2x = 1x
6 + -6x = 4x + [6 + 1x]

Remove brackets around [6 + 1x]
6 + -6x = 4x + 6 + 1x

Reorder the terms:
6 + -6x = 6 + 4x + 1x

Combine like terms: 4x + 1x = 5x
6 + -6x = 6 + 5x

Add '-6' to each side of the equation.
6 + -6 + -6x = 6 + -6 + 5x

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

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

Solving
-6x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-6x + -5x = 5x + -5x

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

Combine like terms: 5x + -5x = 0
-11x = 0

Divide each side by '-11'.
x = 0

Simplifying
x = 0