Решите уравнение 5/7 /6/7х+3/7-1/2=1/6

5/7 / 6/7х + 3/7 - 1/2 = 1/6;

5/7 / 6/7х = 1/6 - 3/7 + 1/2;

5/7 / 6/7х = (1 * 7 - 3 * 6 + 1 * 42)/42;

5/7 / 6/7х = (7 - 18 + 42)/42;

5/7 / 6/7х = 31/42;

5/7 * 7х/6 = 31/42;

5х/6 = 31/42;

5х * 42 = 6 * 31;

210х = 186;

х = 186 : 210;

х = 93/105.

Ответ: 93/105.