Решите уравнение: 1) 2х/7=3+x/8 2) 7x/5=2+x/9 3) 2-x/7=3+x/14 4) 7-x/5=2+x/15 5) x/14+x/16=5 6) x/15+x/27=3 7) x/3+x+1/7=x-2/6 8) x/2+x-1/4=x+2/9

1) 2х/7 = (3 + x)/8;| * 56

16х = 7 * (3 + х);

16х = 21 + 7х;

16х - 7х = 21;

9х = 21;

х = 21/9;

х = 7/3;

х = 2  1/3;

Ответ: 2  1/3;

2) 7x/5 = (2 + x)/9;| * 45

63х = 10 + 5х;

63х - 5х = 10;

58х = 10;

х = 10/58;

х = 5/29;

Ответ: 5/29.

3) (2 - x)/7 = (3 + x)/14; | * 14

2(2 - х) = 3 + х;

4 - 2х = 3 + х;

- 2х - х = 3 - 4;

 - 3х = - 1;

х = 1/3;

Ответ: 1/3.

4)( 7 - x)/5 = (2 + x)/15;| * 15

3 * (7 - х) = 2 + х;

21 - 3х = 2 + х;

- 3х - х = 2 - 21;

- 4х = - 19;

х = 19/4;

х = 4  3/4.

Ответ: 4  3/4.

5) x/14 + x/16 = 5;

(16х + 14х)/224 = 5;

20х/224 = 5;

5х/66 = 5;

5х = 330;

х = 66.

Ответ: 66.

6) x/15 + x/27 = 3;

(27х + 15х)/405 = 3;

42х/405 = 3;

42х = 1215;

х = 1215/42;

х = 28  13/14.

Ответ: 28  13/14.

7) x/3 + x + 1/7 = (x - 2)/6;

(7х + 3х + 3)/21 = (х - 2)/6;| * 126

6(7х + 3х + 3) = 21(х - 2);

42х + 18х + 18 = 21х - 42;

42х + 18х - 21х = - 18 - 42;

39х = - 60;

х = - 60/39;

х = - 1  21/39.

Ответ: - 1  21/39.

8) x/2 + (x - 1)/4 = (x + 2)/9;

(2х + 4х - 1)/4 = (х + 2)/9;| * 36

9(6х - 1) = 4(х - 2);

54х - 9 = 4х - 8;

54х - 4х = 9 + 8;

50х = 17;

х = 17/50;

Ответ: 17/50.