-(4x-5)-(9x-6)+6=-5(x-1)-(11x+6)+3

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Solution for -(4x-5)-(9x-6)+6=-5(x-1)-(11x+6)+3 equation: 


Simplifying
-1(4x + -5) + -1(9x + -6) + 6 = -5(x + -1) + -1(11x + 6) + 3

Reorder the terms:
-1(-5 + 4x) + -1(9x + -6) + 6 = -5(x + -1) + -1(11x + 6) + 3
(-5 * -1 + 4x * -1) + -1(9x + -6) + 6 = -5(x + -1) + -1(11x + 6) + 3
(5 + -4x) + -1(9x + -6) + 6 = -5(x + -1) + -1(11x + 6) + 3

Reorder the terms:
5 + -4x + -1(-6 + 9x) + 6 = -5(x + -1) + -1(11x + 6) + 3
5 + -4x + (-6 * -1 + 9x * -1) + 6 = -5(x + -1) + -1(11x + 6) + 3
5 + -4x + (6 + -9x) + 6 = -5(x + -1) + -1(11x + 6) + 3

Reorder the terms:
5 + 6 + 6 + -4x + -9x = -5(x + -1) + -1(11x + 6) + 3

Combine like terms: 5 + 6 = 11
11 + 6 + -4x + -9x = -5(x + -1) + -1(11x + 6) + 3

Combine like terms: 11 + 6 = 17
17 + -4x + -9x = -5(x + -1) + -1(11x + 6) + 3

Combine like terms: -4x + -9x = -13x
17 + -13x = -5(x + -1) + -1(11x + 6) + 3

Reorder the terms:
17 + -13x = -5(-1 + x) + -1(11x + 6) + 3
17 + -13x = (-1 * -5 + x * -5) + -1(11x + 6) + 3
17 + -13x = (5 + -5x) + -1(11x + 6) + 3

Reorder the terms:
17 + -13x = 5 + -5x + -1(6 + 11x) + 3
17 + -13x = 5 + -5x + (6 * -1 + 11x * -1) + 3
17 + -13x = 5 + -5x + (-6 + -11x) + 3

Reorder the terms:
17 + -13x = 5 + -6 + 3 + -5x + -11x

Combine like terms: 5 + -6 = -1
17 + -13x = -1 + 3 + -5x + -11x

Combine like terms: -1 + 3 = 2
17 + -13x = 2 + -5x + -11x

Combine like terms: -5x + -11x = -16x
17 + -13x = 2 + -16x

Solving
17 + -13x = 2 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
17 + -13x + 16x = 2 + -16x + 16x

Combine like terms: -13x + 16x = 3x
17 + 3x = 2 + -16x + 16x

Combine like terms: -16x + 16x = 0
17 + 3x = 2 + 0
17 + 3x = 2

Add '-17' to each side of the equation.
17 + -17 + 3x = 2 + -17

Combine like terms: 17 + -17 = 0
0 + 3x = 2 + -17
3x = 2 + -17

Combine like terms: 2 + -17 = -15
3x = -15

Divide each side by '3'.
x = -5

Simplifying
x = -5

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