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

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


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

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

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

Solving
5 + -1x = -8 + 1x

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.
5 + -1x + -1x = -8 + 1x + -1x

Combine like terms: -1x + -1x = -2x
5 + -2x = -8 + 1x + -1x

Combine like terms: 1x + -1x = 0
5 + -2x = -8 + 0
5 + -2x = -8

Add '-5' to each side of the equation.
5 + -5 + -2x = -8 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = -8 + -5
-2x = -8 + -5

Combine like terms: -8 + -5 = -13
-2x = -13

Divide each side by '-2'.
x = 6.5

Simplifying
x = 6.5

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