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x^{2}+7y-18=x^{2}+7x-18
Use the distributive property to multiply x-2 by x+9 and combine like terms.
x^{2}+7y-18-x^{2}=7x-18
Subtract x^{2} from both sides.
7y-18=7x-18
Combine x^{2} and -x^{2} to get 0.
7x-18=7y-18
Swap sides so that all variable terms are on the left hand side.
7x=7y-18+18
Add 18 to both sides.
7x=7y
Add -18 and 18 to get 0.
x=y
Cancel out 7 on both sides.
x^{2}+7y-18=x^{2}+7x-18
Use the distributive property to multiply x-2 by x+9 and combine like terms.
7y-18=x^{2}+7x-18-x^{2}
Subtract x^{2} from both sides.
7y-18=7x-18
Combine x^{2} and -x^{2} to get 0.
7y=7x-18+18
Add 18 to both sides.
7y=7x
Add -18 and 18 to get 0.
y=x
Cancel out 7 on both sides.