17-8 15/31+х+3 29/31=16 14/31

17 - 8 15/31 + х + 3 29/31 = 16 14/31;

х = 16 14/31 + 8 15/31 - 3 29/31 - 17;

16 14/31 + 8 15/31 = 16 + 8 + 14/31 + 15/31 = 24 + (14 + 15) / 31 = 24 + 29/31 = 24 29/31.

24 29/31 - 3 29/31 = 24 - 3 + 29/31 - 29/31 = 21 + (29 - 29) / 31 = 21 + 0/31 = 21 + 0 = 21.

21 - 7 = 14.

х = 14.

Ответ: х = 14.

Решим подобное уравнение:

х + 5 4/7 + 3 2/7 = 9 6/7;

х = 9 6/7 - 5 4/7 - 3 2/7;

9 6/7 - 5 4/7 = 9 - 5 + 6/7 - 4/7 = 4 + (6 - 4) / 7 = 4 + 2/7 = 4 2/7.

4 2/7 - 3 2/7 = 4 - 3 + 2/7 - 2/7 = 1.

х = 1.

Ответ: х = 1.