x^2-5=8-2x^2

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Solution for x^2-5=8-2x^2 equation: 


Simplifying
x2 + -5 = 8 + -2x2

Reorder the terms:
-5 + x2 = 8 + -2x2

Solving
-5 + x2 = 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.
-5 + x2 + 2x2 = 8 + -2x2 + 2x2

Combine like terms: x2 + 2x2 = 3x2
-5 + 3x2 = 8 + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-5 + 3x2 = 8 + 0
-5 + 3x2 = 8

Add '5' to each side of the equation.
-5 + 5 + 3x2 = 8 + 5

Combine like terms: -5 + 5 = 0
0 + 3x2 = 8 + 5
3x2 = 8 + 5

Combine like terms: 8 + 5 = 13
3x2 = 13

Divide each side by '3'.
x2 = 4.333333333

Simplifying
x2 = 4.333333333

Take the square root of each side:
x = {-2.081665999, 2.081665999}

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