[tex] \frac{6x-5}{3x-1} - \frac{x-2}{x+3} = 1[/tex]

(6x-5)(x+3)-(x-2)(3x-1)=(3x-1)(x+3)6x^2+18x-5x-15-(3x^2-x-6x+2)=3x^2+9x-x-36x^2+13x-15-3x^2+7x-2=3x^2+8x-320x-17=8x-312x=14x=14/12=7/6