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

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


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

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

Solving
8 + -4x = -16 + -32x

Solving for variable 'x'.

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

Add '32x' to each side of the equation.
8 + -4x + 32x = -16 + -32x + 32x

Combine like terms: -4x + 32x = 28x
8 + 28x = -16 + -32x + 32x

Combine like terms: -32x + 32x = 0
8 + 28x = -16 + 0
8 + 28x = -16

Add '-8' to each side of the equation.
8 + -8 + 28x = -16 + -8

Combine like terms: 8 + -8 = 0
0 + 28x = -16 + -8
28x = -16 + -8

Combine like terms: -16 + -8 = -24
28x = -24

Divide each side by '28'.
x = -0.8571428571

Simplifying
x = -0.8571428571

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