当1<x<5时,化简|x-1|-|5-x|+|x-6|=_.

问题描述:

当1<x<5时,化简|x-1|-|5-x|+|x-6|=______.

∵1<x<5,
∴x-1>0,5-x>0,x-6<0,
∴|x-1|-|5-x|+|x-6|=x-1-(5-x)+(6-x)=x-1-5+x+6-x=x,
故答案为:x.