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) 5x + 16 = 9x + 9.

Решение:

1. 1) 4x = 24 + x
   \( 4x - x = 24 \)
   \( 3x = 24 \)
   \( x = \frac{24}{3} = 8 \)
2. 2) 8x - 8 = 20 – 6x
   \( 8x + 6x = 20 + 8 \)
   \( 14x = 28 \)
   \( x = \frac{28}{14} = 2 \)
3. 3) 9 - 4x = 3x – 40
   \( 9 + 40 = 3x + 4x \)
   \( 49 = 7x \)
   \( x = \frac{49}{7} = 7 \)
4. 4) 0,6x - 5,4 = -0,8x + 5,8
   \( 0,6x + 0,8x = 5,8 + 5,4 \)
   \( 1,4x = 11,2 \)
   \( x = \frac{11,2}{1,4} = \frac{112}{14} = 8 \)
5. 5) 4,7 - 1,1x = 0,5x - 3,3
   \( 4,7 + 3,3 = 0,5x + 1,1x \)
   \( 8 = 1,6x \)
   \( x = \frac{8}{1,6} = \frac{80}{16} = 5 \)
6. 6) 5x + 16 = 9x + 9
   \( 16 - 9 = 9x - 5x \)
   \( 7 = 4x \)
   \( x = \frac{7}{4} = 1,75 \)

Ответ: 1) 8; 2) 2; 3) 7; 4) 8; 5) 5; 6) 1,75.