3(x+1)-(2(3-2x)-3(3-x))=2(x+5)-4

Solution for 3(x+1)-(2(3-2x)-3(3-x))=2(x+5)-4 equation:

Simplifying
3(x + 1) + -1(2(3 + -2x) + -3(3 + -1x)) = 2(x + 5) + -4

Reorder the terms:
3(1 + x) + -1(2(3 + -2x) + -3(3 + -1x)) = 2(x + 5) + -4
(1 * 3 + x * 3) + -1(2(3 + -2x) + -3(3 + -1x)) = 2(x + 5) + -4
(3 + 3x) + -1(2(3 + -2x) + -3(3 + -1x)) = 2(x + 5) + -4
3 + 3x + -1((3 * 2 + -2x * 2) + -3(3 + -1x)) = 2(x + 5) + -4
3 + 3x + -1((6 + -4x) + -3(3 + -1x)) = 2(x + 5) + -4
3 + 3x + -1(6 + -4x + (3 * -3 + -1x * -3)) = 2(x + 5) + -4
3 + 3x + -1(6 + -4x + (-9 + 3x)) = 2(x + 5) + -4

Reorder the terms:
3 + 3x + -1(6 + -9 + -4x + 3x) = 2(x + 5) + -4

Combine like terms: 6 + -9 = -3
3 + 3x + -1(-3 + -4x + 3x) = 2(x + 5) + -4

Combine like terms: -4x + 3x = -1x
3 + 3x + -1(-3 + -1x) = 2(x + 5) + -4
3 + 3x + (-3 * -1 + -1x * -1) = 2(x + 5) + -4
3 + 3x + (3 + 1x) = 2(x + 5) + -4

Reorder the terms:
3 + 3 + 3x + 1x = 2(x + 5) + -4

Combine like terms: 3 + 3 = 6
6 + 3x + 1x = 2(x + 5) + -4

Combine like terms: 3x + 1x = 4x
6 + 4x = 2(x + 5) + -4

Reorder the terms:
6 + 4x = 2(5 + x) + -4
6 + 4x = (5 * 2 + x * 2) + -4
6 + 4x = (10 + 2x) + -4

Reorder the terms:
6 + 4x = 10 + -4 + 2x

Combine like terms: 10 + -4 = 6
6 + 4x = 6 + 2x

Add '-6' to each side of the equation.
6 + -6 + 4x = 6 + -6 + 2x

Combine like terms: 6 + -6 = 0
0 + 4x = 6 + -6 + 2x
4x = 6 + -6 + 2x

Combine like terms: 6 + -6 = 0
4x = 0 + 2x
4x = 2x

Solving
4x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
4x + -2x = 2x + -2x

Combine like terms: 4x + -2x = 2x
2x = 2x + -2x

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

Divide each side by '2'.
x = 0

Simplifying
x = 0