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

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


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

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

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

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

Combine like terms: 8 + -8 = 0
0 + 2x = 8 + -8 + -2x
2x = 8 + -8 + -2x

Combine like terms: 8 + -8 = 0
2x = 0 + -2x
2x = -2x

Solving
2x = -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.
2x + 2x = -2x + 2x

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

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

Divide each side by '4'.
x = 0

Simplifying
x = 0

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