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

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


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

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

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

Remove parenthesis around (-2 + -2x)
2 + 2x = 4 + -2 + -2x

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

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

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

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

Solving
2x = -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.
2x + 2x = -2x + 2x

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

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

Divide each side by '4'.
x = 0

Simplifying
x = 0

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