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(x+7)/(x+6)+(x+9)/(x+8)=(x+10)/(x+9)+(x+6)/(x+5)
(x+6+1)/(x+6)+(x+8+1)/(x+8)=(x+9+1)/(x+9)+(x+5+1)/(x+5)
1+1/(x+6)+1+1/(x+8)=1+1/(x+9)+1+1/(x+5)
1/(x+6)+1/(x+8)=1/(x+9)+1/(x+5)
1/(x+8)-1/(x+9)=1/(x+5)-1/(x+6)
(x+9-x-8)/{(x+8)(x+9)}=(x+6-x-5)/{(x+5)(x+6) }
1/{(x+8)(x+9)}=1/{(x+5)(x+6) }
(x+8)(x+9)=(x+5)(x+6)
x^2+17x+72=x^2+11x+30
6x=-42
x=-7
(x+6+1)/(x+6)+(x+8+1)/(x+8)=(x+9+1)/(x+9)+(x+5+1)/(x+5)
1+1/(x+6)+1+1/(x+8)=1+1/(x+9)+1+1/(x+5)
1/(x+6)+1/(x+8)=1/(x+9)+1/(x+5)
1/(x+8)-1/(x+9)=1/(x+5)-1/(x+6)
(x+9-x-8)/{(x+8)(x+9)}=(x+6-x-5)/{(x+5)(x+6) }
1/{(x+8)(x+9)}=1/{(x+5)(x+6) }
(x+8)(x+9)=(x+5)(x+6)
x^2+17x+72=x^2+11x+30
6x=-42
x=-7
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