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

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Solution for -(x-8)+4x=2+(x+1)+x equation:


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

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

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

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

Remove parenthesis around (1 + x)
8 + 3x = 2 + 1 + x + x

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

Combine like terms: x + x = 2x
8 + 3x = 3 + 2x

Solving
8 + 3x = 3 + 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.
8 + 3x + -2x = 3 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
8 + 1x = 3 + 0
8 + 1x = 3

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

Combine like terms: 8 + -8 = 0
0 + 1x = 3 + -8
1x = 3 + -8

Combine like terms: 3 + -8 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5

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