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

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


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

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

Reorder the terms:
8 + 8 + -4x + -1x = -4

Combine like terms: 8 + 8 = 16
16 + -4x + -1x = -4

Combine like terms: -4x + -1x = -5x
16 + -5x = -4

Solving
16 + -5x = -4

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + -5x = -4 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = -4 + -16
-5x = -4 + -16

Combine like terms: -4 + -16 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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