2x-x^2+6=10-x^2

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Solution for 2x-x^2+6=10-x^2 equation: 


Simplifying
2x + -1x2 + 6 = 10 + -1x2

Reorder the terms:
6 + 2x + -1x2 = 10 + -1x2

Add 'x2' to each side of the equation.
6 + 2x + -1x2 + x2 = 10 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
6 + 2x + 0 = 10 + -1x2 + x2
6 + 2x = 10 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
6 + 2x = 10 + 0
6 + 2x = 10

Solving
6 + 2x = 10

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 2x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 10 + -6
2x = 10 + -6

Combine like terms: 10 + -6 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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