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

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


Simplifying
2x2 + -2(x + 1) = x2 + 2 + -2x

Reorder the terms:
2x2 + -2(1 + x) = x2 + 2 + -2x
2x2 + (1 * -2 + x * -2) = x2 + 2 + -2x
2x2 + (-2 + -2x) = x2 + 2 + -2x

Reorder the terms:
-2 + -2x + 2x2 = x2 + 2 + -2x

Reorder the terms:
-2 + -2x + 2x2 = 2 + -2x + x2

Add '2x' to each side of the equation.
-2 + -2x + 2x + 2x2 = 2 + -2x + 2x + x2

Combine like terms: -2x + 2x = 0
-2 + 0 + 2x2 = 2 + -2x + 2x + x2
-2 + 2x2 = 2 + -2x + 2x + x2

Combine like terms: -2x + 2x = 0
-2 + 2x2 = 2 + 0 + x2
-2 + 2x2 = 2 + x2

Solving
-2 + 2x2 = 2 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
-2 + 2x2 + -1x2 = 2 + x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-2 + 1x2 = 2 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + 1x2 = 2 + 0
-2 + 1x2 = 2

Add '2' to each side of the equation.
-2 + 2 + 1x2 = 2 + 2

Combine like terms: -2 + 2 = 0
0 + 1x2 = 2 + 2
1x2 = 2 + 2

Combine like terms: 2 + 2 = 4
1x2 = 4

Divide each side by '1'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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