丨x-1丨+丨x+3丨=6x-1=0时,x=1,x+3=0时x=-3①当x<-3时-x+1-x-3=6-2x=8x=-4满足题意②当-3<x<1时x-1-x-3=6不成立③当x>1时x-1+x+3=62x=4x=2满足题意x=2或-4已检查,满意请及时采纳,不懂请追问!