解方程：(x+8）/（x+7)+(x+10）/（x+9)=(x+7）/（x+6)+(x+11）/（x+10

解方程：(x+8）/（x+7)+(x+10）/（x+9)=(x+7）/（x+6)+(x+11）/（x+10
解方程：(x+8）/（x+7)+(x+10）/（x+9)=(x+7）/（x+6)+(x+11）/（x+10

解方程：(x+8）/（x+7)+(x+10）/（x+9)=(x+7）/（x+6)+(x+11）/（x+10
-8
原式化简
(x+8）/（x+7)-(x+7）/（x+6)=(x+11）/（x+10）-(x+10）/（x+9)
（X+6）(X+7)=(X+9)(X+10)
13X+42=19X+90
X=-8

(x+8）/（x+7)+(x+10）/（x+9)=(x+7）/（x+6)+(x+11）/（x+10)
1 + [1/（x+7)] + 1 + [1/（x+9)] = 1 + [1/（x+6)] + 1+ [1/（x+10)]
[1/（x+7)] + [1/（x+9)] = [1/（x+6)] + [1/（x+10)]
[(x+7) + (x+9)]/[x^2+16x+63] = [(x+6) + (x+10)]/[x^2+16x+60]
2x+16=0
x=-8

化简整理得： 1/(X+7)+1/(X+9)=1/(X+6)+1/(X+10)
(2X+16)/(X^2+16X+63)=(2X+16)/(X^2+16X+60)
则2X+16=0, X=-8.