-(x+7)-5=4(x-1)-6x

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Solution for -(x+7)-5=4(x-1)-6x equation:


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

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

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

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

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

Combine like terms: 4x + -6x = -2x
-12 + -1x = -4 + -2x

Solving
-12 + -1x = -4 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-12 + -1x + 2x = -4 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
-12 + 1x = -4 + 0
-12 + 1x = -4

Add '12' to each side of the equation.
-12 + 12 + 1x = -4 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = -4 + 12
1x = -4 + 12

Combine like terms: -4 + 12 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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