Good first step!
Then (adding 1 and 1 to make 2
): 1 + 1/ [ (2-x)/(1-x) ]
Inverting the fraction: 1 + (1-x)/(2-x)
Common Denom: (2-x)/(2-x) + (1-x)/(2-x) => [ (2-x) + (1-x) ] / (2-x)
Simplify Top: (3-2x) / (2-x)
That is as far as I can go in simplifying the term.