-(7x-2+12)+(-5x-3x+4)=-(-x+7)-(6x-4-7)

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Solution for -(7x-2+12)+(-5x-3x+4)=-(-x+7)-(6x-4-7) equation:


Simplifying
-1(7x + -2 + 12) + (-5x + -3x + 4) = -1(-1x + 7) + -1(6x + -4 + -7)

Reorder the terms:
-1(-2 + 12 + 7x) + (-5x + -3x + 4) = -1(-1x + 7) + -1(6x + -4 + -7)

Combine like terms: -2 + 12 = 10
-1(10 + 7x) + (-5x + -3x + 4) = -1(-1x + 7) + -1(6x + -4 + -7)
(10 * -1 + 7x * -1) + (-5x + -3x + 4) = -1(-1x + 7) + -1(6x + -4 + -7)
(-10 + -7x) + (-5x + -3x + 4) = -1(-1x + 7) + -1(6x + -4 + -7)

Reorder the terms:
-10 + -7x + (4 + -5x + -3x) = -1(-1x + 7) + -1(6x + -4 + -7)

Combine like terms: -5x + -3x = -8x
-10 + -7x + (4 + -8x) = -1(-1x + 7) + -1(6x + -4 + -7)

Remove parenthesis around (4 + -8x)
-10 + -7x + 4 + -8x = -1(-1x + 7) + -1(6x + -4 + -7)

Reorder the terms:
-10 + 4 + -7x + -8x = -1(-1x + 7) + -1(6x + -4 + -7)

Combine like terms: -10 + 4 = -6
-6 + -7x + -8x = -1(-1x + 7) + -1(6x + -4 + -7)

Combine like terms: -7x + -8x = -15x
-6 + -15x = -1(-1x + 7) + -1(6x + -4 + -7)

Reorder the terms:
-6 + -15x = -1(7 + -1x) + -1(6x + -4 + -7)
-6 + -15x = (7 * -1 + -1x * -1) + -1(6x + -4 + -7)
-6 + -15x = (-7 + 1x) + -1(6x + -4 + -7)

Reorder the terms:
-6 + -15x = -7 + 1x + -1(-4 + -7 + 6x)

Combine like terms: -4 + -7 = -11
-6 + -15x = -7 + 1x + -1(-11 + 6x)
-6 + -15x = -7 + 1x + (-11 * -1 + 6x * -1)
-6 + -15x = -7 + 1x + (11 + -6x)

Reorder the terms:
-6 + -15x = -7 + 11 + 1x + -6x

Combine like terms: -7 + 11 = 4
-6 + -15x = 4 + 1x + -6x

Combine like terms: 1x + -6x = -5x
-6 + -15x = 4 + -5x

Solving
-6 + -15x = 4 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-6 + -15x + 5x = 4 + -5x + 5x

Combine like terms: -15x + 5x = -10x
-6 + -10x = 4 + -5x + 5x

Combine like terms: -5x + 5x = 0
-6 + -10x = 4 + 0
-6 + -10x = 4

Add '6' to each side of the equation.
-6 + 6 + -10x = 4 + 6

Combine like terms: -6 + 6 = 0
0 + -10x = 4 + 6
-10x = 4 + 6

Combine like terms: 4 + 6 = 10
-10x = 10

Divide each side by '-10'.
x = -1

Simplifying
x = -1

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