-(11x-5)-(2x-6)+6=-5(x-1)-(13x+6)+3

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Solution for -(11x-5)-(2x-6)+6=-5(x-1)-(13x+6)+3 equation: 


Simplifying
-1(11x + -5) + -1(2x + -6) + 6 = -5(x + -1) + -1(13x + 6) + 3

Reorder the terms:
-1(-5 + 11x) + -1(2x + -6) + 6 = -5(x + -1) + -1(13x + 6) + 3
(-5 * -1 + 11x * -1) + -1(2x + -6) + 6 = -5(x + -1) + -1(13x + 6) + 3
(5 + -11x) + -1(2x + -6) + 6 = -5(x + -1) + -1(13x + 6) + 3

Reorder the terms:
5 + -11x + -1(-6 + 2x) + 6 = -5(x + -1) + -1(13x + 6) + 3
5 + -11x + (-6 * -1 + 2x * -1) + 6 = -5(x + -1) + -1(13x + 6) + 3
5 + -11x + (6 + -2x) + 6 = -5(x + -1) + -1(13x + 6) + 3

Reorder the terms:
5 + 6 + 6 + -11x + -2x = -5(x + -1) + -1(13x + 6) + 3

Combine like terms: 5 + 6 = 11
11 + 6 + -11x + -2x = -5(x + -1) + -1(13x + 6) + 3

Combine like terms: 11 + 6 = 17
17 + -11x + -2x = -5(x + -1) + -1(13x + 6) + 3

Combine like terms: -11x + -2x = -13x
17 + -13x = -5(x + -1) + -1(13x + 6) + 3

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

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

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

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

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

Combine like terms: -5x + -13x = -18x
17 + -13x = 2 + -18x

Solving
17 + -13x = 2 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
17 + -13x + 18x = 2 + -18x + 18x

Combine like terms: -13x + 18x = 5x
17 + 5x = 2 + -18x + 18x

Combine like terms: -18x + 18x = 0
17 + 5x = 2 + 0
17 + 5x = 2

Add '-17' to each side of the equation.
17 + -17 + 5x = 2 + -17

Combine like terms: 17 + -17 = 0
0 + 5x = 2 + -17
5x = 2 + -17

Combine like terms: 2 + -17 = -15
5x = -15

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

Simplifying
x = -3

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