(2/3х + 1/8х) * 24 = 38.

(2/3х + 1/8х) * 24 = 38;

((2 * 8)/(3 * 8)х + (1 * 3)/(8 * 3)х) * 24 = 38;

(16/24х + 3/24х) * 24 = 38;

((16 + 3)/24х) * 24 = 38;

(19/24х) * 24 = 38;

(24 * 19)/24х = 38;

19х = 38;

х = 38 : 19;

х = 2.

Ответ: х = 2.

Решим сходственное уравнение для закрепления материала:

(3/5х + 7/15х) * 30 = 96;

((3 * 3)/(5 * 3)х + 7/15х) * 30 = 96;

(9/15х + 7/15х) * 30 = 96;

((9 + 7)/15х) * 30 = 96;

(16/15х) * 30 = 96;

16/15х * 30 = 96;

(16 * 30)/15х = 96;

(16 * 2 * 15)/15х = 96;

16 * 2х = 96;

32х = 96;

х = 96 : 32;

х = 3.

Ответ: х = 3.