2(x+8)=-2(x-12)

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Solution for 2(x+8)=-2(x-12) equation: 


Simplifying
2(x + 8) = -2(x + -12)

Reorder the terms:
2(8 + x) = -2(x + -12)
(8 * 2 + x * 2) = -2(x + -12)
(16 + 2x) = -2(x + -12)

Reorder the terms:
16 + 2x = -2(-12 + x)
16 + 2x = (-12 * -2 + x * -2)
16 + 2x = (24 + -2x)

Solving
16 + 2x = 24 + -2x

Solving for variable 'x'.

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

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

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

Combine like terms: -2x + 2x = 0
16 + 4x = 24 + 0
16 + 4x = 24

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

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

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

Divide each side by '4'.
x = 2

Simplifying
x = 2

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