(5x-96)/(x-19)+(x-8)/(x-9)=(4x-19)/(x-6)+(2x-21)/(x-8)
5-1/(x-19)+1+1/(x-9)=4+5/(x-6)+2-5/(x-8)
即 1/(x-9)-1/(x-19)=5/(x-6)-5/(x-8)
-10/[(x-9)(x-19)]=-10/[(x-6)(x-8)]
则 1/[(x-9)(x-19)]=1/[(x-6)(x-8)]
即 (x-6)(x-8)=(x-9)(x-19)
x²-14x+48=x²-28x+171
14x=123
得 x=123/14