3x-[4x-(2x-3y+6)+2y]=

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

Simplifying
3x + -1[4x + -1(2x + -3y + 6) + 2y] = 0

Reorder the terms:
3x + -1[4x + -1(6 + 2x + -3y) + 2y] = 0
3x + -1[4x + (6 * -1 + 2x * -1 + -3y * -1) + 2y] = 0
3x + -1[4x + (-6 + -2x + 3y) + 2y] = 0

Reorder the terms:
3x + -1[-6 + 4x + -2x + 3y + 2y] = 0

Combine like terms: 4x + -2x = 2x
3x + -1[-6 + 2x + 3y + 2y] = 0

Combine like terms: 3y + 2y = 5y
3x + -1[-6 + 2x + 5y] = 0
3x + [-6 * -1 + 2x * -1 + 5y * -1] = 0
3x + [6 + -2x + -5y] = 0

Reorder the terms:
6 + 3x + -2x + -5y = 0

Combine like terms: 3x + -2x = 1x
6 + 1x + -5y = 0

Solving
6 + 1x + -5y = 0

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + 1x + -6 + -5y = 0 + -6

Reorder the terms:
6 + -6 + 1x + -5y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 1x + -5y = 0 + -6
1x + -5y = 0 + -6

Combine like terms: 0 + -6 = -6
1x + -5y = -6

Add '5y' to each side of the equation.
1x + -5y + 5y = -6 + 5y

Combine like terms: -5y + 5y = 0
1x + 0 = -6 + 5y
1x = -6 + 5y

Divide each side by '1'.
x = -6 + 5y

Simplifying
x = -6 + 5y