x^2-9=x^2+x-20

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Solution for x^2-9=x^2+x-20 equation:


Simplifying
x2 + -9 = x2 + x + -20

Reorder the terms:
-9 + x2 = x2 + x + -20

Reorder the terms:
-9 + x2 = -20 + x + x2

Add '-1x2' to each side of the equation.
-9 + x2 + -1x2 = -20 + x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + 0 = -20 + x + x2 + -1x2
-9 = -20 + x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 = -20 + x + 0
-9 = -20 + x

Solving
-9 = -20 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-9 + -1x = -20 + x + -1x

Combine like terms: x + -1x = 0
-9 + -1x = -20 + 0
-9 + -1x = -20

Add '9' to each side of the equation.
-9 + 9 + -1x = -20 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = -20 + 9
-1x = -20 + 9

Combine like terms: -20 + 9 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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