4(-x+2)=-8(-2x-4)+16

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Solution for 4(-x+2)=-8(-2x-4)+16 equation: 


Simplifying
4(-1x + 2) = -8(-2x + -4) + 16

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

Reorder the terms:
8 + -4x = -8(-4 + -2x) + 16
8 + -4x = (-4 * -8 + -2x * -8) + 16
8 + -4x = (32 + 16x) + 16

Reorder the terms:
8 + -4x = 32 + 16 + 16x

Combine like terms: 32 + 16 = 48
8 + -4x = 48 + 16x

Solving
8 + -4x = 48 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
8 + -4x + -16x = 48 + 16x + -16x

Combine like terms: -4x + -16x = -20x
8 + -20x = 48 + 16x + -16x

Combine like terms: 16x + -16x = 0
8 + -20x = 48 + 0
8 + -20x = 48

Add '-8' to each side of the equation.
8 + -8 + -20x = 48 + -8

Combine like terms: 8 + -8 = 0
0 + -20x = 48 + -8
-20x = 48 + -8

Combine like terms: 48 + -8 = 40
-20x = 40

Divide each side by '-20'.
x = -2

Simplifying
x = -2

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