2(x+8)=-4(2x+6)

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Solution for 2(x+8)=-4(2x+6) equation: 


Simplifying
2(x + 8) = -4(2x + 6)

Reorder the terms:
2(8 + x) = -4(2x + 6)
(8 * 2 + x * 2) = -4(2x + 6)
(16 + 2x) = -4(2x + 6)

Reorder the terms:
16 + 2x = -4(6 + 2x)
16 + 2x = (6 * -4 + 2x * -4)
16 + 2x = (-24 + -8x)

Solving
16 + 2x = -24 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
16 + 2x + 8x = -24 + -8x + 8x

Combine like terms: 2x + 8x = 10x
16 + 10x = -24 + -8x + 8x

Combine like terms: -8x + 8x = 0
16 + 10x = -24 + 0
16 + 10x = -24

Add '-16' to each side of the equation.
16 + -16 + 10x = -24 + -16

Combine like terms: 16 + -16 = 0
0 + 10x = -24 + -16
10x = -24 + -16

Combine like terms: -24 + -16 = -40
10x = -40

Divide each side by '10'.
x = -4

Simplifying
x = -4

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