The number of real roots of the equation 5+|2x-1|=2x(2x-2) is:

Let 2x=t and t is always +ve
g(t)=5+|t-1|
f(t)=t^2-2t
From the graph g(t) and f(t) intersect at two points but one value of t is negative and only one value of t is positive
So, the number of real roots is 1