答案为x=1/2，解题的关键是把分式拆开计算
过程如下图
通过拆项可得1/x-1/(x+1)+1/(x+1)-1/(x+2)+…+1/(x+4)-1/(x+5)=10/(x+5)等式左边中间项可消掉1/x-1/(x+5)=10/(x+5)x+5-x=10x，x=1/2
