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

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Solution for 5-(x-4)=-(-x+8) equation:


Simplifying
5 + -1(x + -4) = -1(-1x + 8)

Reorder the terms:
5 + -1(-4 + x) = -1(-1x + 8)
5 + (-4 * -1 + x * -1) = -1(-1x + 8)
5 + (4 + -1x) = -1(-1x + 8)

Combine like terms: 5 + 4 = 9
9 + -1x = -1(-1x + 8)

Reorder the terms:
9 + -1x = -1(8 + -1x)
9 + -1x = (8 * -1 + -1x * -1)
9 + -1x = (-8 + 1x)

Solving
9 + -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.
9 + -1x + -1x = -8 + 1x + -1x

Combine like terms: -1x + -1x = -2x
9 + -2x = -8 + 1x + -1x

Combine like terms: 1x + -1x = 0
9 + -2x = -8 + 0
9 + -2x = -8

Add '-9' to each side of the equation.
9 + -9 + -2x = -8 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = -8 + -9
-2x = -8 + -9

Combine like terms: -8 + -9 = -17
-2x = -17

Divide each side by '-2'.
x = 8.5

Simplifying
x = 8.5

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