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x^{2}+5x+6=x^{2}+3+2
Use the distributive property to multiply x+3 by x+2 and combine like terms.
x^{2}+5x+6=x^{2}+5
Add 3 and 2 to get 5.
x^{2}+5x+6-x^{2}=5
Subtract x^{2} from both sides.
5x+6=5
Combine x^{2} and -x^{2} to get 0.
5x=5-6
Subtract 6 from both sides.
5x=-1
Subtract 6 from 5 to get -1.
x=\frac{-1}{5}
Divide both sides by 5.
x=-\frac{1}{5}
Fraction \frac{-1}{5} can be rewritten as -\frac{1}{5} by extracting the negative sign.