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

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


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

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

Combine like terms: x + 1x = 2x
-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 = 10
6x = 10

Divide each side by '6'.
x = 1.666666667

Simplifying
x = 1.666666667

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