$\left(5x-1\right)-\left(3x+2\right)-\left[1-\left(1-x\right)-\left(-x+2\right)\right]=5x-1-3x-2-\left(1-1+x+x-2\right)=2x-3-\left(2x-2\right)=2x-3-2x+2=-1$