4 3/14 - (1/2х + 2 1/6) * 6 : 1/3 = 3 5/7
(1/2х + 2 1/6) * 6 : 1/3 = 4 3/14 - 3 5/7 = 3 17/14 - 3 10/14 = 7/14 = 1/2
(1/2х + 2 1/6) * 6 = 1/2 * 1/3 = 1/6
1/2х + 2 1/6 = 1/6 : 6 = 1/6 * 1/6 = 1/36
1/2х = 1/36 - 2 1/6 = 1/36 - 2 6/36 = - 2 5/36 = - 77/36
х = - 77/36 : 1/2 = - 77/36 * 2 = - 77/18 = - 4 целых 5/18
х = - 4 целых 5/18
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Проверка:
4 3/14 - (1/2 * (-77/18) + 2 1/6) * 6 : 1/3 = 3 5/7
(-77/36 + 2 1/6) * 6 : 1/3 = 4 3/14 - 3 5/7 = 3 17/14 - 3 10/14 = 1/2
(-2 5/36 + 2 6/36) * 6 : 1/3 = 1/2
1/36 * 6 = 1/2 * 1/3
6/36 = 1/6
1/6 = 1/6