x/(x-1)-(2x-1)/(3x+3)=1 x/(x-1)=1+(2x-1)/(3x+3) x/(x-1)=(3x+3+2x-1)/(3x+3)=(5x+2)/(3x+3) x(3x+3)=(5x+2)(x-1) 3x^2+3x=5x^2-3x-2 2x^2-6x-2=0 x^2-3x-1=0 x=(3±√13)/2