-(x-8)+4=2(-3x)+x

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Solution for -(x-8)+4=2(-3x)+x equation:


Simplifying
-1(x + -8) + 4 = 2(-3x) + x

Reorder the terms:
-1(-8 + x) + 4 = 2(-3x) + x
(-8 * -1 + x * -1) + 4 = 2(-3x) + x
(8 + -1x) + 4 = 2(-3x) + x

Reorder the terms:
8 + 4 + -1x = 2(-3x) + x

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

Remove parenthesis around (-3x)
12 + -1x = 2 * -3x + x

Multiply 2 * -3
12 + -1x = -6x + x

Combine like terms: -6x + x = -5x
12 + -1x = -5x

Solving
12 + -1x = -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.
12 + -1x + 5x = -5x + 5x

Combine like terms: -1x + 5x = 4x
12 + 4x = -5x + 5x

Combine like terms: -5x + 5x = 0
12 + 4x = 0

Add '-12' to each side of the equation.
12 + -12 + 4x = 0 + -12

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

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

Divide each side by '4'.
x = -3

Simplifying
x = -3

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