2x+4=8+2x-x^2

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Solution for 2x+4=8+2x-x^2 equation: 


Simplifying
2x + 4 = 8 + 2x + -1x2

Reorder the terms:
4 + 2x = 8 + 2x + -1x2

Add '-2x' to each side of the equation.
4 + 2x + -2x = 8 + 2x + -2x + -1x2

Combine like terms: 2x + -2x = 0
4 + 0 = 8 + 2x + -2x + -1x2
4 = 8 + 2x + -2x + -1x2

Combine like terms: 2x + -2x = 0
4 = 8 + 0 + -1x2
4 = 8 + -1x2

Solving
4 = 8 + -1x2

Solving for variable 'x'.

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

Add 'x2' to each side of the equation.
4 + x2 = 8 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
4 + x2 = 8 + 0
4 + x2 = 8

Add '-4' to each side of the equation.
4 + -4 + x2 = 8 + -4

Combine like terms: 4 + -4 = 0
0 + x2 = 8 + -4
x2 = 8 + -4

Combine like terms: 8 + -4 = 4
x2 = 4

Simplifying
x2 = 4

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

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