23: (x-5 1/6) = 8. Решите уравнение.

23/(x - 5 1/6) = 8; 

Умножим на x - 5 1/6. 

23/(x - 5 1/6) * (x - 5 1/6) = 8 * (x - 5 1/6); 

8 * (x - 5 1/6) = 23; 

x - 5 1/6 = 23/8; 

x - (5 * 6 + 1)/6 = 23/8; 

x - 31/6 = 23/8; 

x * 24 - 31/6 * 24 = 23/8 * 24; 

24 * x - 31 * 4 = 23 * 3; 

24 * x - 124 = 69; 

24 * x = 69 + 124; 

24 * x = 193; 

x = 193/24; 

Ответ: х = 193/24.