-(6x-5)-(8x-5)+5=-13(x-1)-(4x+13)+3

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Solution for -(6x-5)-(8x-5)+5=-13(x-1)-(4x+13)+3 equation: 


Simplifying
-1(6x + -5) + -1(8x + -5) + 5 = -13(x + -1) + -1(4x + 13) + 3

Reorder the terms:
-1(-5 + 6x) + -1(8x + -5) + 5 = -13(x + -1) + -1(4x + 13) + 3
(-5 * -1 + 6x * -1) + -1(8x + -5) + 5 = -13(x + -1) + -1(4x + 13) + 3
(5 + -6x) + -1(8x + -5) + 5 = -13(x + -1) + -1(4x + 13) + 3

Reorder the terms:
5 + -6x + -1(-5 + 8x) + 5 = -13(x + -1) + -1(4x + 13) + 3
5 + -6x + (-5 * -1 + 8x * -1) + 5 = -13(x + -1) + -1(4x + 13) + 3
5 + -6x + (5 + -8x) + 5 = -13(x + -1) + -1(4x + 13) + 3

Reorder the terms:
5 + 5 + 5 + -6x + -8x = -13(x + -1) + -1(4x + 13) + 3

Combine like terms: 5 + 5 = 10
10 + 5 + -6x + -8x = -13(x + -1) + -1(4x + 13) + 3

Combine like terms: 10 + 5 = 15
15 + -6x + -8x = -13(x + -1) + -1(4x + 13) + 3

Combine like terms: -6x + -8x = -14x
15 + -14x = -13(x + -1) + -1(4x + 13) + 3

Reorder the terms:
15 + -14x = -13(-1 + x) + -1(4x + 13) + 3
15 + -14x = (-1 * -13 + x * -13) + -1(4x + 13) + 3
15 + -14x = (13 + -13x) + -1(4x + 13) + 3

Reorder the terms:
15 + -14x = 13 + -13x + -1(13 + 4x) + 3
15 + -14x = 13 + -13x + (13 * -1 + 4x * -1) + 3
15 + -14x = 13 + -13x + (-13 + -4x) + 3

Reorder the terms:
15 + -14x = 13 + -13 + 3 + -13x + -4x

Combine like terms: 13 + -13 = 0
15 + -14x = 0 + 3 + -13x + -4x
15 + -14x = 3 + -13x + -4x

Combine like terms: -13x + -4x = -17x
15 + -14x = 3 + -17x

Solving
15 + -14x = 3 + -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
15 + -14x + 17x = 3 + -17x + 17x

Combine like terms: -14x + 17x = 3x
15 + 3x = 3 + -17x + 17x

Combine like terms: -17x + 17x = 0
15 + 3x = 3 + 0
15 + 3x = 3

Add '-15' to each side of the equation.
15 + -15 + 3x = 3 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = 3 + -15
3x = 3 + -15

Combine like terms: 3 + -15 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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