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x^{2}+2x-15=x^{2}-7
Use the distributive property to multiply x-3 by x+5 and combine like terms.
x^{2}+2x-15-x^{2}=-7
Subtract x^{2} from both sides.
2x-15=-7
Combine x^{2} and -x^{2} to get 0.
2x=-7+15
Add 15 to both sides.
2x=8
Add -7 and 15 to get 8.
x=\frac{8}{2}
Divide both sides by 2.
x=4
Divide 8 by 2 to get 4.