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

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


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

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

Multiply (2 + x) * (2 + -1x)
2x + -1x2 = (2(2 + -1x) + x(2 + -1x))
2x + -1x2 = ((2 * 2 + -1x * 2) + x(2 + -1x))
2x + -1x2 = ((4 + -2x) + x(2 + -1x))
2x + -1x2 = (4 + -2x + (2 * x + -1x * x))
2x + -1x2 = (4 + -2x + (2x + -1x2))

Combine like terms: -2x + 2x = 0
2x + -1x2 = (4 + 0 + -1x2)
2x + -1x2 = (4 + -1x2)

Add 'x2' to each side of the equation.
2x + -1x2 + x2 = 4 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
2x + 0 = 4 + -1x2 + x2
2x = 4 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
2x = 4 + 0
2x = 4

Solving
2x = 4

Solving for variable 'x'.

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

Divide each side by '2'.
x = 2

Simplifying
x = 2

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