The number of roots of the eqn., $x-\large\frac{2}{x-1}$$=1-\large\frac{2}{x-1}$ is

Question

$\begin{array}{1 1}(A) \;1 \\(B)\;2\;imaginary \;solutions \\(C)\;0\;or\;no\;solution \\(D)\;Infinite\;solution \end{array}$