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

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


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

Reorder the terms:
4x + -2(-8 + x) = -1(-1x + -4)
4x + (-8 * -2 + x * -2) = -1(-1x + -4)
4x + (16 + -2x) = -1(-1x + -4)

Reorder the terms:
16 + 4x + -2x = -1(-1x + -4)

Combine like terms: 4x + -2x = 2x
16 + 2x = -1(-1x + -4)

Reorder the terms:
16 + 2x = -1(-4 + -1x)
16 + 2x = (-4 * -1 + -1x * -1)
16 + 2x = (4 + 1x)

Solving
16 + 2x = 4 + 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.
16 + 2x + -1x = 4 + 1x + -1x

Combine like terms: 2x + -1x = 1x
16 + 1x = 4 + 1x + -1x

Combine like terms: 1x + -1x = 0
16 + 1x = 4 + 0
16 + 1x = 4

Add '-16' to each side of the equation.
16 + -16 + 1x = 4 + -16

Combine like terms: 16 + -16 = 0
0 + 1x = 4 + -16
1x = 4 + -16

Combine like terms: 4 + -16 = -12
1x = -12

Divide each side by '1'.
x = -12

Simplifying
x = -12

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