x^2+x-7=x^2+2

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Solution for x^2+x-7=x^2+2 equation:


Simplifying
x2 + x + -7 = x2 + 2

Reorder the terms:
-7 + x + x2 = x2 + 2

Reorder the terms:
-7 + x + x2 = 2 + x2

Add '-1x2' to each side of the equation.
-7 + x + x2 + -1x2 = 2 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-7 + x + 0 = 2 + x2 + -1x2
-7 + x = 2 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-7 + x = 2 + 0
-7 + x = 2

Solving
-7 + x = 2

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + x = 2 + 7

Combine like terms: -7 + 7 = 0
0 + x = 2 + 7
x = 2 + 7

Combine like terms: 2 + 7 = 9
x = 9

Simplifying
x = 9

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