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x^{2}-14=x^{2}-5x+6
Subtract 6 from -8 to get -14.
x^{2}-14-x^{2}=-5x+6
Subtract x^{2} from both sides.
-14=-5x+6
Combine x^{2} and -x^{2} to get 0.
-5x+6=-14
Swap sides so that all variable terms are on the left hand side.
-5x=-14-6
Subtract 6 from both sides.
-5x=-20
Subtract 6 from -14 to get -20.
x=\frac{-20}{-5}
Divide both sides by -5.
x=4
Divide -20 by -5 to get 4.