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

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


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

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

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

Remove parenthesis around (-4 + x)
4 + 2x = -4 + x

Solving
4 + 2x = -4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4 + 2x + -1x = -4 + x + -1x

Combine like terms: 2x + -1x = 1x
4 + 1x = -4 + x + -1x

Combine like terms: x + -1x = 0
4 + 1x = -4 + 0
4 + 1x = -4

Add '-4' to each side of the equation.
4 + -4 + 1x = -4 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = -4 + -4
1x = -4 + -4

Combine like terms: -4 + -4 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8

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