-2(x+4)=x-2

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


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

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

Reorder the terms:
-8 + -2x = -2 + x

Solving
-8 + -2x = -2 + 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.
-8 + -2x + -1x = -2 + x + -1x

Combine like terms: -2x + -1x = -3x
-8 + -3x = -2 + x + -1x

Combine like terms: x + -1x = 0
-8 + -3x = -2 + 0
-8 + -3x = -2

Add '8' to each side of the equation.
-8 + 8 + -3x = -2 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = -2 + 8
-3x = -2 + 8

Combine like terms: -2 + 8 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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