8-(x-5)=-2x+8

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Solution for 8-(x-5)=-2x+8 equation:


Simplifying
8 + -1(x + -5) = -2x + 8

Reorder the terms:
8 + -1(-5 + x) = -2x + 8
8 + (-5 * -1 + x * -1) = -2x + 8
8 + (5 + -1x) = -2x + 8

Combine like terms: 8 + 5 = 13
13 + -1x = -2x + 8

Reorder the terms:
13 + -1x = 8 + -2x

Solving
13 + -1x = 8 + -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.
13 + -1x + 2x = 8 + -2x + 2x

Combine like terms: -1x + 2x = 1x
13 + 1x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
13 + 1x = 8 + 0
13 + 1x = 8

Add '-13' to each side of the equation.
13 + -13 + 1x = 8 + -13

Combine like terms: 13 + -13 = 0
0 + 1x = 8 + -13
1x = 8 + -13

Combine like terms: 8 + -13 = -5
1x = -5

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

Simplifying
x = -5

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