将x-7/x-9分解成1 +2/(x-9)其他分式同理
则原方程等价于
1/x-9+1/x-5=1/x-6+1/x-8
1/x-6 - 1/x-5=1/x-9 - 1/x-8
1/(x-5)(x-6)=1/(x-8)(x-9)
(x-5)(x-6)=(x-8)(x-9)
x=7