It's not all that hard to write that out: you are asking about 1/(4- 3/(2+ x/(1- x)))
(In Latex, that is $\frac{1}{4- \frac{3}{2+ \frac{x}{1- x}}}$.)

Start at the "inside" and work your way out:
$2+ \frac{x}{1- x}= \frac{2(1- x)}{1- x}+ \frac{x}{1- x}= \frac{2- 2x+ x}{1- x}= \frac{2- x}{1- x}$
And 3 over that is $\frac{3}{1}\frac{1- x}{2- x}= \frac{3- 3x}{2- x}$.

What is $4- \frac{3- 3x}{2- x}$?