Решение задач 2 (11 х-5 (-17 х=55 5 (8 х+3 (-12=83 7 (2 х+9 (+3 х=114 3 (4 х+13 (-25=74

Давайте решим линейные уравнения:

1) 2 (11x - 5) - 17x = 55;

Открываем скобки:

2 * 11x - 2 * 5 - 17x = 55;

22x - 10 - 17x = 55;

22x - 17x = 55 + 10;

5x = 65;

x = 65 : 5;

x = 13.

2) 5 (8x + 3) - 12 = 83;

5 * 8x + 5 * 3 - 12 = 83;

40x + 15 - 12 = 83;

40x = 83 + 12 - 15;

40x = 80;

x = 80 : 40;

x = 2.

3) 7 (2x + 9) + 3x = 114;

7 * 2x + 7 * 9 + 3x = 114;

14x + 63 + 3x = 114;

14x + 3x = 114 - 63;

17x = 51;

x = 51 : 17;

x = 3;

4) 3 (4x + 13) - 25 = 74;

3 * 4x + 3 * 13 - 25 = 74;

12x + 39 - 25 = 74;

12x = 74 + 25 - 39;

12x = 60;

x = 60 : 12;

x = 5.