Решите уравнение: (3 1/2x-1/4) * 8=3

Раскроем скобки и упростим уравнение:

(3 1/2 х - 1/4) * 8 = 3;

3 1/2 х * 8 - 1/4 * 8 = 3;

(3 * 2 + 1) / 2 * х * 8 - (1 * 8) / 4 = 3;

(6 + 1) / 2 * х * 8 - (4 * 2) / 4 = 3;

7/2 * х * 8 - 2 = 3;

(7 * 8 * х) / 2 - 2 = 3;

(7 * 2 * 4 * х) / 2 - 2 = 3;

7 * 4 * х = 3 + 2;

28 х = 5;

х = 5/28.

Или сначала поделим уравнение на 8:

(3 1/2 х - 1/4) * 8 = 3;

3 1/2 х - 1/4 = 3/8;

3 1/2 х = 3/8 + 1/4;

3 1/2 х = 3/8 + 2/8;

3 1/2 х = 5/8;

х = 5/8 : 3 1/2;

х = 5/8 : (3 * 2 + 1) / 2;

х = 5/8 : (6 + 1) / 2;

х = 5/8 : 7/2;

х = 5/8 * 2/7;

х = (5 * 2) / (2 * 4 * 7);

х = 5/28.