3/4(х+2)+2/3(х-1)=5 2х-3/4=x/3

Уравнение 1.

3/4 (х + 2) + 2/3 (х - 1) = 5;

3/4 х + 2 3/4 + 2/3 х - 2/3 = 5;

3 3/4 3 х + 2 4/3 4 х + 6/4 - 2/3 = 5;

9/12 х + 8/12 х + 6 3/4 3 - 2 4/3 4 = 5;

17/12 х + 18/12 - 8/12 = 5;

17/12 х + 10/12 = 5;

17/12 х = 5 - 10/12;

17/12 х = 5 12/12 - 10/12;

17/12 х = 60/12 - 10/12;

17/12 х = 50/12;

х = 50/12 : 17/12;

х = 50/12 12/17;

х = 50/17.

Проверка:

3/4 (50/17 + 2) + 2/3 (50/17 - 1) = 5;

3/4 84/17 + 2/3 33/17 = 5;

252/68 + 66/51 = 5;

252 3/68 3 + 66 4/51 4;

756/204 + 264/204 = 5;

1020/204 = 5;

5 = 5.

Уравнение 2.

2 х - 3/4 = х/3;

2 х - 1/3 х = 3/4;

6/3 х - 1/3 х = 3/4;

5/3 х = 3/4;

х = 3/4 : 5/3;

х = 3/4 3/5;

х = 9/20.

Проверка:

2 9/20 - 3/4 = 9/20 : 3;

18/20 - 3 5/4 5 = 9/20 1/3;

18/20 - 15/20 = 9/60;

3/20 = 3/20.