Решите уравнение. Распишите все подробно. 6 х-5/7=2 х-1/3+2

6 * х - 5/7 = 2 * х - 1/3 + 2;

6 * х - 2 * х = - 1/3 + 2 + 5/7;

4 * х = - 1/3 + 1 3/3 + 5/7;

4 * х = - 1/3 + 2 5/7;

4 * х = - 1/3 + 19/7;

4 * х = - (1 * 7) / (3 * 7) + (19 * 3) / (7 * 3);

4 * х = - 7/21 + 57/21;

4 * х = 50/21;

4 * х = 2 8/21;

х = 2 8/21 : 4;

х = 50/21 : 4;

х = 50/21 * 1/4;

х = 50/84;

х = 25/42

Проверка:

6 * 25/42 - 5/7 = 2 * 25/42 - 1/3 + 2;

6 * 25/42 - 5/7 = 2 * 25/42 - 1/3 + 2;

(6 * 25) / 42 - 5/7 = 50/42 - 1/3 + 2;

150/42 - 5/7 = 50/42 - 1/3 + 2;

150/42 - (5 * 6) / (7 * 6) = 50/42 - (14 * 1) / (3 * 14) + 2;

150/42 - 30/42 = 50/42 - 14/42 + 2;

120/42 = 36/42 + 2;

60/21 = 18/21 + 2;

60/21 = 2 18/21;

2 18/21 = 2 18/21. Решение выполнено верно.