-(2x-4)-(12x-6)+5=-13(x-1)-(5x+13)+3

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Solution for -(2x-4)-(12x-6)+5=-13(x-1)-(5x+13)+3 equation: 


Simplifying
-1(2x + -4) + -1(12x + -6) + 5 = -13(x + -1) + -1(5x + 13) + 3

Reorder the terms:
-1(-4 + 2x) + -1(12x + -6) + 5 = -13(x + -1) + -1(5x + 13) + 3
(-4 * -1 + 2x * -1) + -1(12x + -6) + 5 = -13(x + -1) + -1(5x + 13) + 3
(4 + -2x) + -1(12x + -6) + 5 = -13(x + -1) + -1(5x + 13) + 3

Reorder the terms:
4 + -2x + -1(-6 + 12x) + 5 = -13(x + -1) + -1(5x + 13) + 3
4 + -2x + (-6 * -1 + 12x * -1) + 5 = -13(x + -1) + -1(5x + 13) + 3
4 + -2x + (6 + -12x) + 5 = -13(x + -1) + -1(5x + 13) + 3

Reorder the terms:
4 + 6 + 5 + -2x + -12x = -13(x + -1) + -1(5x + 13) + 3

Combine like terms: 4 + 6 = 10
10 + 5 + -2x + -12x = -13(x + -1) + -1(5x + 13) + 3

Combine like terms: 10 + 5 = 15
15 + -2x + -12x = -13(x + -1) + -1(5x + 13) + 3

Combine like terms: -2x + -12x = -14x
15 + -14x = -13(x + -1) + -1(5x + 13) + 3

Reorder the terms:
15 + -14x = -13(-1 + x) + -1(5x + 13) + 3
15 + -14x = (-1 * -13 + x * -13) + -1(5x + 13) + 3
15 + -14x = (13 + -13x) + -1(5x + 13) + 3

Reorder the terms:
15 + -14x = 13 + -13x + -1(13 + 5x) + 3
15 + -14x = 13 + -13x + (13 * -1 + 5x * -1) + 3
15 + -14x = 13 + -13x + (-13 + -5x) + 3

Reorder the terms:
15 + -14x = 13 + -13 + 3 + -13x + -5x

Combine like terms: 13 + -13 = 0
15 + -14x = 0 + 3 + -13x + -5x
15 + -14x = 3 + -13x + -5x

Combine like terms: -13x + -5x = -18x
15 + -14x = 3 + -18x

Solving
15 + -14x = 3 + -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.
15 + -14x + 18x = 3 + -18x + 18x

Combine like terms: -14x + 18x = 4x
15 + 4x = 3 + -18x + 18x

Combine like terms: -18x + 18x = 0
15 + 4x = 3 + 0
15 + 4x = 3

Add '-15' to each side of the equation.
15 + -15 + 4x = 3 + -15

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

Combine like terms: 3 + -15 = -12
4x = -12

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

Simplifying
x = -3

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