200. Решите уравнение: 1) 4x = 24+ x; 2) 8x - 8 = 20 - 6x; 3) 9 - 4x = 3x – 40; 4) 0,6x - 5,4 = -0,8x + 5,8; 5) 4,7 - 1,1x = 0,5x - 3,3; 6) \frac{5}{6}x + 16 = \frac{4}{9}x + 9.

Решение уравнений:

1) \(4x = 24 + x\)

\[4x - x = 24\] \[3x = 24\] \[x = 8\]

Ответ: \(x = 8\)

2) \(8x - 8 = 20 - 6x\)

\[8x + 6x = 20 + 8\] \[14x = 28\] \[x = 2\]

Ответ: \(x = 2\)

3) \(9 - 4x = 3x - 40\)

\[-4x - 3x = -40 - 9\] \[-7x = -49\] \[x = 7\]

Ответ: \(x = 7\)

4) \(0,6x - 5,4 = -0,8x + 5,8\)

\[0,6x + 0,8x = 5,8 + 5,4\] \[1,4x = 11,2\] \[x = 8\]

Ответ: \(x = 8\)

5) \(4,7 - 1,1x = 0,5x - 3,3\)

\[-1,1x - 0,5x = -3,3 - 4,7\] \[-1,6x = -8\] \[x = 5\]

Ответ: \(x = 5\)

6) \(\frac{5}{6}x + 16 = \frac{4}{9}x + 9\)

\[\frac{5}{6}x - \frac{4}{9}x = 9 - 16\] \[\frac{5 \cdot 3}{6 \cdot 3}x - \frac{4 \cdot 2}{9 \cdot 2}x = -7\] \[\frac{15}{18}x - \frac{8}{18}x = -7\] \[\frac{7}{18}x = -7\] \[x = -7 \cdot \frac{18}{7}\] \[x = -18\]

Ответ: \(x = -18\)