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x^{2}+5x-6-x^{2}=x+6
Subtract x^{2} from both sides.
5x-6=x+6
Combine x^{2} and -x^{2} to get 0.
5x-6-x=6
Subtract x from both sides.
4x-6=6
Combine 5x and -x to get 4x.
4x=6+6
Add 6 to both sides.
4x=12
Add 6 and 6 to get 12.
x=\frac{12}{4}
Divide both sides by 4.
x=3
Divide 12 by 4 to get 3.