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