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

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


Simplifying
2(2x + 4) = -2(-1x + 2)

Reorder the terms:
2(4 + 2x) = -2(-1x + 2)
(4 * 2 + 2x * 2) = -2(-1x + 2)
(8 + 4x) = -2(-1x + 2)

Reorder the terms:
8 + 4x = -2(2 + -1x)
8 + 4x = (2 * -2 + -1x * -2)
8 + 4x = (-4 + 2x)

Solving
8 + 4x = -4 + 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.
8 + 4x + -2x = -4 + 2x + -2x

Combine like terms: 4x + -2x = 2x
8 + 2x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 2x = -4 + 0
8 + 2x = -4

Add '-8' to each side of the equation.
8 + -8 + 2x = -4 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = -4 + -8
2x = -4 + -8

Combine like terms: -4 + -8 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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