5/6 * (1/2x-2/3) = 3x-2 1/4 помогите решить уравнение с дробями!

5/6 * (1/2x-2/3) = 3x-2 1/4

5/6*1/2x - 5/6*2/3 = 3x-2 1/4

5/12 х - 5/9 = 3 х - 2 1/4

2 1/4 - 5/9 = 3 х - 5/12 х

2 9/36 - 20/36 = 2 12/12 х - 5/12 х

1 45/36 - 20/36 = 2 7/12 х

1 25/36 = 2 7/12 х

х = 1 25/36 : 2 7/12

х = 61/36 : 31/12

х = 61/36 * 12/31

х = 61*3/31

х = 183/31

х = 5 28/31