Write as single trigonometric ratio

Good day friends,

 

I trust you are all doing well. It's been a long time since I asked for assistance here, I sincerely hope someone will help me please.

We have to write the following as a single Trigonometric expression:

 

\({sin(180-x)-2Cos(90-x).Cosx} \over{2Cos^2(360+x)-Cos(-x)}\)

 

I said:

 

\(={{Sinx-2Sinx.Cosx} \over {2Cos^2x-Cosx}}\)

 

\(= {{Sinx(1-2Cosx)} \over {Cosx(2Cosx-1)}}\)

 

At this point I'm not even sure if I'm still okay here....please help..thank you all kindly..