|x-1| / (x-1) = 1
|x-1| = x-1
（1）当x ≥ 1 ,x-1 = x-1.
（2）当x < 1 ,1 - x = x-1.
2x = 2 ,x = 1 .但 x - 1 ≠ 0 .
综上,x > 1 .