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

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


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

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

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

Combine like terms: -4 + 4 = 0
0 + 2x = -4 + 4 + 1x
2x = -4 + 4 + 1x

Combine like terms: -4 + 4 = 0
2x = 0 + 1x
2x = 1x

Solving
2x = 1x

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.
2x + -1x = 1x + -1x

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

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

Divide each side by '1'.
x = 0

Simplifying
x = 0

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