8 - 1,5 * (3х + 2) = 2/3 * (4 - 6х)
8 - 4,5х - 3 = 8/3 - 4х
- 4,5х + 4х = 2 2/3 - 8 + 3
- 0,5х = - 2 1/3
- 1/2х = - 7/3
х = - 7/3 : (-1/2)
х = 7/3 * 2
х = 14/3
х = 4 целых 2/3
======================
Проверка:
8 - 1,5 * (3 * 14/3 + 2) = 2/3 * (4 - 6 * 14/3)
8 - 1,5 * 16 = 2/3 * (-24)
8 - 24 = - 16
- 16 = - 16
Пояснения:
2/3 * 4 = 8/3 = 2 целых 2/3
2/3 * 6х = 12/3х = 4х
(-) : (-) = (+)