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

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


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

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

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

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

Combine like terms: 4 + 6 = 10
10 + 13 + -7x + -3x = -12(x + -1) + -1(3x + 12) + 3

Combine like terms: 10 + 13 = 23
23 + -7x + -3x = -12(x + -1) + -1(3x + 12) + 3

Combine like terms: -7x + -3x = -10x
23 + -10x = -12(x + -1) + -1(3x + 12) + 3

Reorder the terms:
23 + -10x = -12(-1 + x) + -1(3x + 12) + 3
23 + -10x = (-1 * -12 + x * -12) + -1(3x + 12) + 3
23 + -10x = (12 + -12x) + -1(3x + 12) + 3

Reorder the terms:
23 + -10x = 12 + -12x + -1(12 + 3x) + 3
23 + -10x = 12 + -12x + (12 * -1 + 3x * -1) + 3
23 + -10x = 12 + -12x + (-12 + -3x) + 3

Reorder the terms:
23 + -10x = 12 + -12 + 3 + -12x + -3x

Combine like terms: 12 + -12 = 0
23 + -10x = 0 + 3 + -12x + -3x
23 + -10x = 3 + -12x + -3x

Combine like terms: -12x + -3x = -15x
23 + -10x = 3 + -15x

Solving
23 + -10x = 3 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
23 + -10x + 15x = 3 + -15x + 15x

Combine like terms: -10x + 15x = 5x
23 + 5x = 3 + -15x + 15x

Combine like terms: -15x + 15x = 0
23 + 5x = 3 + 0
23 + 5x = 3

Add '-23' to each side of the equation.
23 + -23 + 5x = 3 + -23

Combine like terms: 23 + -23 = 0
0 + 5x = 3 + -23
5x = 3 + -23

Combine like terms: 3 + -23 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4

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