-(7x-3)-(2x-5)+4=-12(x-1)-(2x+13)+3

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Solution for -(7x-3)-(2x-5)+4=-12(x-1)-(2x+13)+3 equation: 


Simplifying
-1(7x + -3) + -1(2x + -5) + 4 = -12(x + -1) + -1(2x + 13) + 3

Reorder the terms:
-1(-3 + 7x) + -1(2x + -5) + 4 = -12(x + -1) + -1(2x + 13) + 3
(-3 * -1 + 7x * -1) + -1(2x + -5) + 4 = -12(x + -1) + -1(2x + 13) + 3
(3 + -7x) + -1(2x + -5) + 4 = -12(x + -1) + -1(2x + 13) + 3

Reorder the terms:
3 + -7x + -1(-5 + 2x) + 4 = -12(x + -1) + -1(2x + 13) + 3
3 + -7x + (-5 * -1 + 2x * -1) + 4 = -12(x + -1) + -1(2x + 13) + 3
3 + -7x + (5 + -2x) + 4 = -12(x + -1) + -1(2x + 13) + 3

Reorder the terms:
3 + 5 + 4 + -7x + -2x = -12(x + -1) + -1(2x + 13) + 3

Combine like terms: 3 + 5 = 8
8 + 4 + -7x + -2x = -12(x + -1) + -1(2x + 13) + 3

Combine like terms: 8 + 4 = 12
12 + -7x + -2x = -12(x + -1) + -1(2x + 13) + 3

Combine like terms: -7x + -2x = -9x
12 + -9x = -12(x + -1) + -1(2x + 13) + 3

Reorder the terms:
12 + -9x = -12(-1 + x) + -1(2x + 13) + 3
12 + -9x = (-1 * -12 + x * -12) + -1(2x + 13) + 3
12 + -9x = (12 + -12x) + -1(2x + 13) + 3

Reorder the terms:
12 + -9x = 12 + -12x + -1(13 + 2x) + 3
12 + -9x = 12 + -12x + (13 * -1 + 2x * -1) + 3
12 + -9x = 12 + -12x + (-13 + -2x) + 3

Reorder the terms:
12 + -9x = 12 + -13 + 3 + -12x + -2x

Combine like terms: 12 + -13 = -1
12 + -9x = -1 + 3 + -12x + -2x

Combine like terms: -1 + 3 = 2
12 + -9x = 2 + -12x + -2x

Combine like terms: -12x + -2x = -14x
12 + -9x = 2 + -14x

Solving
12 + -9x = 2 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
12 + -9x + 14x = 2 + -14x + 14x

Combine like terms: -9x + 14x = 5x
12 + 5x = 2 + -14x + 14x

Combine like terms: -14x + 14x = 0
12 + 5x = 2 + 0
12 + 5x = 2

Add '-12' to each side of the equation.
12 + -12 + 5x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = 2 + -12
5x = 2 + -12

Combine like terms: 2 + -12 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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