-(7x-3)-(6x-6)+8=-12(x-1)-(4x+13)+3

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Solution for -(7x-3)-(6x-6)+8=-12(x-1)-(4x+13)+3 equation: 


Simplifying
-1(7x + -3) + -1(6x + -6) + 8 = -12(x + -1) + -1(4x + 13) + 3

Reorder the terms:
-1(-3 + 7x) + -1(6x + -6) + 8 = -12(x + -1) + -1(4x + 13) + 3
(-3 * -1 + 7x * -1) + -1(6x + -6) + 8 = -12(x + -1) + -1(4x + 13) + 3
(3 + -7x) + -1(6x + -6) + 8 = -12(x + -1) + -1(4x + 13) + 3

Reorder the terms:
3 + -7x + -1(-6 + 6x) + 8 = -12(x + -1) + -1(4x + 13) + 3
3 + -7x + (-6 * -1 + 6x * -1) + 8 = -12(x + -1) + -1(4x + 13) + 3
3 + -7x + (6 + -6x) + 8 = -12(x + -1) + -1(4x + 13) + 3

Reorder the terms:
3 + 6 + 8 + -7x + -6x = -12(x + -1) + -1(4x + 13) + 3

Combine like terms: 3 + 6 = 9
9 + 8 + -7x + -6x = -12(x + -1) + -1(4x + 13) + 3

Combine like terms: 9 + 8 = 17
17 + -7x + -6x = -12(x + -1) + -1(4x + 13) + 3

Combine like terms: -7x + -6x = -13x
17 + -13x = -12(x + -1) + -1(4x + 13) + 3

Reorder the terms:
17 + -13x = -12(-1 + x) + -1(4x + 13) + 3
17 + -13x = (-1 * -12 + x * -12) + -1(4x + 13) + 3
17 + -13x = (12 + -12x) + -1(4x + 13) + 3

Reorder the terms:
17 + -13x = 12 + -12x + -1(13 + 4x) + 3
17 + -13x = 12 + -12x + (13 * -1 + 4x * -1) + 3
17 + -13x = 12 + -12x + (-13 + -4x) + 3

Reorder the terms:
17 + -13x = 12 + -13 + 3 + -12x + -4x

Combine like terms: 12 + -13 = -1
17 + -13x = -1 + 3 + -12x + -4x

Combine like terms: -1 + 3 = 2
17 + -13x = 2 + -12x + -4x

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