Решите уравнение 2//3 * (x-3) - 3//5 * (x-10) = 5

2 / 3 * (x - 3) - 3 / 5 * (x - 10) = 5;

2 / 3 * x - 2 / 3 * 3 - 3 / 5 * x + 3 / 5 * 10 = 5;

2 / 3 * x - 2 - 3 / 5 * x + 3 * 2 = 5;

2 / 3 * x - 2 - 3 / 5 * x + 6 = 5;

2 / 3 * x - 3 / 5 * x + 4 = 5;

x * (2 / 3 - 3 / 5) + 4 = 5;

x * (2 * 5 - 3 * 3) / 15 + 4 = 5;

x * (10 - 9) / 15 + 4 = 5;

1 / 15 * x + 4 = 5;

1 / 15 * x = 5 - 4;

1 / 15 * x = 1;

x = 1 / (1 / 15);

x = 1 * 15 / 1;

x = 15;

Проверка:

2 / 3 * (15 - 3) - 3 / 5 * (15 - 10) = 5;

2 / 3 * 12 - 3 / 5 * 5 = 5;

8 - 3 = 5;

Верно;

Ответ: х = 15.