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

Решение:

1. \( 6x = 28 - x \)
   \( 6x + x = 28 \)
   \( 7x = 28 \)
   \( x = \frac{28}{7} \)
   \( x = 4 \)
2. \( 9x - 26 = 30 - 5x \)
   \( 9x + 5x = 30 + 26 \)
   \( 14x = 56 \)
   \( x = \frac{56}{14} \)
   \( x = 4 \)
3. \( 7 - 3x = 6x - 56 \)
   \( 7 + 56 = 6x + 3x \)
   \( 63 = 9x \)
   \( x = \frac{63}{9} \)
   \( x = 7 \)
4. \( 0,9x - 7,4 = -0,4x + 4,3 \)
   \( 0,9x + 0,4x = 4,3 + 7,4 \)
   \( 1,3x = 11,7 \)
   \( x = \frac{11,7}{1,3} \)
   \( x = 9 \)
5. \( 5,8 - 1,6x = 0,3x - 1,8 \)
   \( 5,8 + 1,8 = 0,3x + 1,6x \)
   \( 7,6 = 1,9x \)
   \( x = \frac{7,6}{1,9} \)
   \( x = 4 \)
6. \( \frac{3}{8}x + 19 = \frac{7}{12}x + 24 \)
   \( \frac{3}{8}x - \frac{7}{12}x = 24 - 19 \)
   \( \frac{9}{24}x - \frac{14}{24}x = 5 \)
   \( -\frac{5}{24}x = 5 \)
   \( x = 5 \cdot \left(-\frac{24}{5}\right) \)
   \( x = -24 \)

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