Решите уравнение. Распишите все досконально. 6х-5/7=2х-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 правильно.