-(6x-5)-(7x-6)+6=-13(x-1)-(5x+14)+3

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Solution for -(6x-5)-(7x-6)+6=-13(x-1)-(5x+14)+3 equation: 


Simplifying
-1(6x + -5) + -1(7x + -6) + 6 = -13(x + -1) + -1(5x + 14) + 3

Reorder the terms:
-1(-5 + 6x) + -1(7x + -6) + 6 = -13(x + -1) + -1(5x + 14) + 3
(-5 * -1 + 6x * -1) + -1(7x + -6) + 6 = -13(x + -1) + -1(5x + 14) + 3
(5 + -6x) + -1(7x + -6) + 6 = -13(x + -1) + -1(5x + 14) + 3

Reorder the terms:
5 + -6x + -1(-6 + 7x) + 6 = -13(x + -1) + -1(5x + 14) + 3
5 + -6x + (-6 * -1 + 7x * -1) + 6 = -13(x + -1) + -1(5x + 14) + 3
5 + -6x + (6 + -7x) + 6 = -13(x + -1) + -1(5x + 14) + 3

Reorder the terms:
5 + 6 + 6 + -6x + -7x = -13(x + -1) + -1(5x + 14) + 3

Combine like terms: 5 + 6 = 11
11 + 6 + -6x + -7x = -13(x + -1) + -1(5x + 14) + 3

Combine like terms: 11 + 6 = 17
17 + -6x + -7x = -13(x + -1) + -1(5x + 14) + 3

Combine like terms: -6x + -7x = -13x
17 + -13x = -13(x + -1) + -1(5x + 14) + 3

Reorder the terms:
17 + -13x = -13(-1 + x) + -1(5x + 14) + 3
17 + -13x = (-1 * -13 + x * -13) + -1(5x + 14) + 3
17 + -13x = (13 + -13x) + -1(5x + 14) + 3

Reorder the terms:
17 + -13x = 13 + -13x + -1(14 + 5x) + 3
17 + -13x = 13 + -13x + (14 * -1 + 5x * -1) + 3
17 + -13x = 13 + -13x + (-14 + -5x) + 3

Reorder the terms:
17 + -13x = 13 + -14 + 3 + -13x + -5x

Combine like terms: 13 + -14 = -1
17 + -13x = -1 + 3 + -13x + -5x

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

Combine like terms: -13x + -5x = -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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