200. Решите уравнение: 1) 6x = 28-x; 2) 9x - 26 = 30 - 5x; 3) 7-3x = 6x - 56; 4) 0,9x - 7,4 = -0,4x + 4,3; 5) 5,8 – 1,6x = 0,3x - 1,8; 6) 3/8 x + 19 = 7/12 x + 24.

Ответ: 1) x = 4, 2) x = 4, 3) x = 7, 4) x = 9, 5) x = 4, 6) x = -24

Решим уравнения:

1) 6x = 28 - x

6x + x = 28

7x = 28

x = 28 : 7

x = 4

2) 9x - 26 = 30 - 5x

9x + 5x = 30 + 26

14x = 56

x = 56 : 14

x = 4

3) 7 - 3x = 6x - 56

-3x - 6x = -56 - 7

-9x = -63

x = -63 : (-9)

x = 7

4) 0,9x - 7,4 = -0,4x + 4,3

0,9x + 0,4x = 4,3 + 7,4

1,3x = 11,7

x = 11,7 : 1,3

x = 9

5) 5,8 – 1,6x = 0,3x - 1,8

-1,6x - 0,3x = -1,8 - 5,8

-1,9x = -7,6

x = -7,6 : (-1,9)

x = 4

6) \(\frac{3}{8}x + 19 = \frac{7}{12}x + 24\)

\(\frac{3}{8}x - \frac{7}{12}x = 24 - 19\)

\(\frac{3 \cdot 3}{8 \cdot 3}x - \frac{7 \cdot 2}{12 \cdot 2}x = 5\)

\(\frac{9}{24}x - \frac{14}{24}x = 5\)

\(-\frac{5}{24}x = 5\)

\(x = 5 : (-\frac{5}{24})\)

\(x = 5 \cdot (-\frac{24}{5})\)

\(x = -24\)

Ответ: 1) x = 4, 2) x = 4, 3) x = 7, 4) x = 9, 5) x = 4, 6) x = -24