-(3-4x)+2(5-6x)-6=3(2x-5)-(x-3)

Solution for -(3-4x)+2(5-6x)-6=3(2x-5)-(x-3) equation:

Simplifying
-1(3 + -4x) + 2(5 + -6x) + -6 = 3(2x + -5) + -1(x + -3)
(3 * -1 + -4x * -1) + 2(5 + -6x) + -6 = 3(2x + -5) + -1(x + -3)
(-3 + 4x) + 2(5 + -6x) + -6 = 3(2x + -5) + -1(x + -3)
-3 + 4x + (5 * 2 + -6x * 2) + -6 = 3(2x + -5) + -1(x + -3)
-3 + 4x + (10 + -12x) + -6 = 3(2x + -5) + -1(x + -3)

Reorder the terms:
-3 + 10 + -6 + 4x + -12x = 3(2x + -5) + -1(x + -3)

Combine like terms: -3 + 10 = 7
7 + -6 + 4x + -12x = 3(2x + -5) + -1(x + -3)

Combine like terms: 7 + -6 = 1
1 + 4x + -12x = 3(2x + -5) + -1(x + -3)

Combine like terms: 4x + -12x = -8x
1 + -8x = 3(2x + -5) + -1(x + -3)

Reorder the terms:
1 + -8x = 3(-5 + 2x) + -1(x + -3)
1 + -8x = (-5 * 3 + 2x * 3) + -1(x + -3)
1 + -8x = (-15 + 6x) + -1(x + -3)

Reorder the terms:
1 + -8x = -15 + 6x + -1(-3 + x)
1 + -8x = -15 + 6x + (-3 * -1 + x * -1)
1 + -8x = -15 + 6x + (3 + -1x)

Reorder the terms:
1 + -8x = -15 + 3 + 6x + -1x

Combine like terms: -15 + 3 = -12
1 + -8x = -12 + 6x + -1x

Combine like terms: 6x + -1x = 5x
1 + -8x = -12 + 5x

Solving
1 + -8x = -12 + 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.
1 + -8x + -5x = -12 + 5x + -5x

Combine like terms: -8x + -5x = -13x
1 + -13x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
1 + -13x = -12 + 0
1 + -13x = -12

Add '-1' to each side of the equation.
1 + -1 + -13x = -12 + -1

Combine like terms: 1 + -1 = 0
0 + -13x = -12 + -1
-13x = -12 + -1

Combine like terms: -12 + -1 = -13
-13x = -13

Divide each side by '-13'.
x = 1

Simplifying
x = 1