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

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Solution for -2(x-1)=2(2x+4) equation:


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

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

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

Solving
2 + -2x = 8 + 4x

Solving for variable 'x'.

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

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

Combine like terms: -2x + -4x = -6x
2 + -6x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -6x = 8 + 0
2 + -6x = 8

Add '-2' to each side of the equation.
2 + -2 + -6x = 8 + -2

Combine like terms: 2 + -2 = 0
0 + -6x = 8 + -2
-6x = 8 + -2

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

Divide each side by '-6'.
x = -1

Simplifying
x = -1

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