2. 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) 5/6x + 16 = 4/9x + 9.

Решение:

1. Уравнение 1:
   • \[ 4x = 24 + x \]
   • \[ 4x - x = 24 \]
   • \[ 3x = 24 \]
   • \[ x = \frac{24}{3} \]
   • \[ x = 8 \]
2. Уравнение 2:
   • \[ 8x - 8 = 20 - 6x \]
   • \[ 8x + 6x = 20 + 8 \]
   • \[ 14x = 28 \]
   • \[ x = \frac{28}{14} \]
   • \[ x = 2 \]
3. Уравнение 3:
   • \[ 9 - 4x = 3x - 40 \]
   • \[ 9 + 40 = 3x + 4x \]
   • \[ 49 = 7x \]
   • \[ x = \frac{49}{7} \]
   • \[ x = 7 \]
4. Уравнение 4:
   • \[ 0,6x - 5,4 = -0,8x + 5,8 \]
   • \[ 0,6x + 0,8x = 5,8 + 5,4 \]
   • \[ 1,4x = 11,2 \]
   • \[ x = \frac{11,2}{1,4} \]
   • \[ x = 8 \]
5. Уравнение 5:
   • \[ 4,7 - 1,1x = 0,5x - 3,3 \]
   • \[ 4,7 + 3,3 = 0,5x + 1,1x \]
   • \[ 8 = 1,6x \]
   • \[ x = \frac{8}{1,6} \]
   • \[ x = 5 \]
6. Уравнение 6:
   • \[ \frac{5}{6}x + 16 = \frac{4}{9}x + 9 \]
   • \[ \frac{5}{6}x - \frac{4}{9}x = 9 - 16 \]
   • \[ \frac{15}{18}x - \frac{8}{18}x = -7 \]
   • \[ \frac{7}{18}x = -7 \]
   • \[ x = -7 \cdot \frac{18}{7} \]
   • \[ x = -18 \]

Ответ: 1) x = 8; 2) x = 2; 3) x = 7; 4) x = 8; 5) x = 5; 6) x = -18