为方便计算,可令t=x+2,则原方程即为：1/t+1/(t+1)=1/(t-1)+1/(t+2)通分,方程两边同乘以t(t+1)(t-1)(t+2):(t^2-1)(t+2)+(t^2-t)(t+2)=(t^2+t)(t+2)+t(t^2-1),化简后即为：-4t=2,得到t=-0.5则x=t-2=-2.5...