Решите уравнение (х+2целых 3/7)/3 целых 2/7 = 4/5

(х + 2 3/7) : 3 2/7 = 4/5; х + 2 3/7 = 4/5 * 3 2/7; х + 2 3/7 = 4/5 * 23/7; х + 2 3/7 = (4 * 23)/(5 * 7); х + 2 3/7 = 92/35; х = 92/35 - 2 3/7; х = 92/35 - 17/7; х = 92/35 - (17 * 5)/(7 * 5); х = 92/35 - 85/35; х = 7/35; х = 1/5. Проверка: (1/5 + 2 3/7) : 3 2/7 = 4/5; (1/5 + 17/7) : 3 2/7 = 4/5; ((1 * 7)/(5 * 7) + (17 * 5)/(7 * 5)) : 3 2/6 = 4/5; (7/35 + 85/35) : 3 2/7 = 4/5; 92/35 : 3 2/7 = 4/5; 92/35 : 23/7 = 4/5; 92/35 * 7/23 = 4/5; (92 * 7)/(35 * 23) = 4/5; 644/805 = 4/5; 4/5 = 4/5. Решение выполнено верно.