(-5x+5)-(-x+8)=x

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Solution for (-5x+5)-(-x+8)=x equation:


Simplifying
(-5x + 5) + -1(-1x + 8) = x

Reorder the terms:
(5 + -5x) + -1(-1x + 8) = x

Remove parenthesis around (5 + -5x)
5 + -5x + -1(-1x + 8) = x

Reorder the terms:
5 + -5x + -1(8 + -1x) = x
5 + -5x + (8 * -1 + -1x * -1) = x
5 + -5x + (-8 + 1x) = x

Reorder the terms:
5 + -8 + -5x + 1x = x

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

Combine like terms: -5x + 1x = -4x
-3 + -4x = x

Solving
-3 + -4x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3 + -4x + -1x = x + -1x

Combine like terms: -4x + -1x = -5x
-3 + -5x = x + -1x

Combine like terms: x + -1x = 0
-3 + -5x = 0

Add '3' to each side of the equation.
-3 + 3 + -5x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = 0 + 3
-5x = 0 + 3

Combine like terms: 0 + 3 = 3
-5x = 3

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

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