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

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


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

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

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

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

Reorder the terms:
12 + -1x = 2(4 + x) + x
12 + -1x = (4 * 2 + x * 2) + x
12 + -1x = (8 + 2x) + x

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

Solving
12 + -1x = 8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12 + -1x + -3x = 8 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
12 + -4x = 8 + 0
12 + -4x = 8

Add '-12' to each side of the equation.
12 + -12 + -4x = 8 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = 8 + -12
-4x = 8 + -12

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

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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