How many roots of the equation x−2x−1=1−2x−1 have ?

Wehavex−2x−1=1−2x−1-.If x≠1multiplying each term by (x - 1), the glven equation reduces tox(x−1)=(x−1) or (x−1)2=0 or x=1 which is not possible as considering x≠1. Thus, given equation has no root.