5/6(дробью)(1/2(дробью)х-2/3(дробью))=3х-2(целых)1/4(дробью)

5/6*(1/2x-2/3) =3x-9/4
5/12x-10/18=3x-9/4
5/12x-3x=10/18-9/4
-31/12x=5/9-9/4| * -1
31/12x = 9/4-5/9
31/12x = (81-20)/36
31/12x = 61/36
x=(61/36)/(31/12)=(61*12)/36/31=61/3/31=61/93