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

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


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

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

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

Combine like terms: 8 + -32 = -24
16 + 2x = -24 + -4x

Solving
16 + 2x = -24 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
16 + 2x + 4x = -24 + -4x + 4x

Combine like terms: 2x + 4x = 6x
16 + 6x = -24 + -4x + 4x

Combine like terms: -4x + 4x = 0
16 + 6x = -24 + 0
16 + 6x = -24

Add '-16' to each side of the equation.
16 + -16 + 6x = -24 + -16

Combine like terms: 16 + -16 = 0
0 + 6x = -24 + -16
6x = -24 + -16

Combine like terms: -24 + -16 = -40
6x = -40

Divide each side by '6'.
x = -6.666666667

Simplifying
x = -6.666666667

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