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

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


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

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

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

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

Combine like terms: 8x + 4x = 12x
16 + 12x = -8 + -4x + 4x

Combine like terms: -4x + 4x = 0
16 + 12x = -8 + 0
16 + 12x = -8

Add '-16' to each side of the equation.
16 + -16 + 12x = -8 + -16

Combine like terms: 16 + -16 = 0
0 + 12x = -8 + -16
12x = -8 + -16

Combine like terms: -8 + -16 = -24
12x = -24

Divide each side by '12'.
x = -2

Simplifying
x = -2

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