-(3x-5)-(7x-6)+12=-3(x-1)-(12x+3)+3

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Solution for -(3x-5)-(7x-6)+12=-3(x-1)-(12x+3)+3 equation: 


Simplifying
-1(3x + -5) + -1(7x + -6) + 12 = -3(x + -1) + -1(12x + 3) + 3

Reorder the terms:
-1(-5 + 3x) + -1(7x + -6) + 12 = -3(x + -1) + -1(12x + 3) + 3
(-5 * -1 + 3x * -1) + -1(7x + -6) + 12 = -3(x + -1) + -1(12x + 3) + 3
(5 + -3x) + -1(7x + -6) + 12 = -3(x + -1) + -1(12x + 3) + 3

Reorder the terms:
5 + -3x + -1(-6 + 7x) + 12 = -3(x + -1) + -1(12x + 3) + 3
5 + -3x + (-6 * -1 + 7x * -1) + 12 = -3(x + -1) + -1(12x + 3) + 3
5 + -3x + (6 + -7x) + 12 = -3(x + -1) + -1(12x + 3) + 3

Reorder the terms:
5 + 6 + 12 + -3x + -7x = -3(x + -1) + -1(12x + 3) + 3

Combine like terms: 5 + 6 = 11
11 + 12 + -3x + -7x = -3(x + -1) + -1(12x + 3) + 3

Combine like terms: 11 + 12 = 23
23 + -3x + -7x = -3(x + -1) + -1(12x + 3) + 3

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

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

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

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

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

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