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

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


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

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

Remove parenthesis around (2 + -1x)
2 + 2x = 2 + -1x

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

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

Combine like terms: 2 + -2 = 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 'x' to each side of the equation.
2x + x = -1x + x

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

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

Divide each side by '3'.
x = 0

Simplifying
x = 0

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