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x^{2}+6x+8=x^{2}+5x+6
Use the distributive property to multiply x+2 by x+3 and combine like terms.
x^{2}+6x+8-x^{2}=5x+6
Subtract x^{2} from both sides.
6x+8=5x+6
Combine x^{2} and -x^{2} to get 0.
6x+8-5x=6
Subtract 5x from both sides.
x+8=6
Combine 6x and -5x to get x.
x=6-8
Subtract 8 from both sides.
x=-2
Subtract 8 from 6 to get -2.