1 3/8x+5/6x-5/24x=1 2/3:1 2/3

Найдем корень.

1 3/8 * x + 5/6 * x - 5/24 * x = 1 2/3 : 1 2/3;

1 3/8 * x + 5/6 * x - 5/24 * x = 1;

Вынесем за скобки х.

x * (1 3/8 + 5/6 - 5/24) = 1;

x * (11/8 + 5/6 - 5/24) = 1;

x * (11 * 3/24 + 5 * 4/24 - 5/24) = 1;

x * (33/24 + 20/24 - 5/24) = 1;

x * (33 + 20 - 5) / 24 = 1;

x * (33 + 15) / 24 = 1;

x * 48/24 = 1;

x * 2 = 1;

2 * x = 1;

x = ½;

x = 0.5;

Ответ: х = 0,5.