x-(x-2)=2(x^2-4)

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Solution for x-(x-2)=2(x^2-4) equation: 


Simplifying
x + -1(x + -2) = 2(x2 + -4)

Reorder the terms:
x + -1(-2 + x) = 2(x2 + -4)
x + (-2 * -1 + x * -1) = 2(x2 + -4)
x + (2 + -1x) = 2(x2 + -4)

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

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

Reorder the terms:
2 = 2(-4 + x2)
2 = (-4 * 2 + x2 * 2)
2 = (-8 + 2x2)

Solving
2 = -8 + 2x2

Solving for variable 'x'.

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

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

Combine like terms: 2x2 + -2x2 = 0
2 + -2x2 = -8 + 0
2 + -2x2 = -8

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

Combine like terms: 2 + -2 = 0
0 + -2x2 = -8 + -2
-2x2 = -8 + -2

Combine like terms: -8 + -2 = -10
-2x2 = -10

Divide each side by '-2'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}

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