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

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Solution for 2(4x+8)=-8(1-2x) equation: 


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

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

Solving
16 + 8x = -8 + 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.
16 + 8x + -16x = -8 + 16x + -16x

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

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

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

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

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

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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