通分
(2x+10)/(x+2)(x+8)-(2x+10)/(x+4)(x+6)=0
(2x+10)[1/(x²+10x+16)-1/(x²+10x+24)]=0
显然1/(x²+10x+16)≠1/(x²+10x+24)
所以2x+10=0
x=-5
经检验,x=-5是方程的解