10. 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.

1. \(4x=24+x\)
   \(4x-x=24\)
   \(3x=24\)
   \(x=8\).
2. \(8x-8=20-6x\)
   \(8x+6x=20+8\)
   \(14x=28\)
   \(x=2\).
3. \(9-4x=3x-40\)
   \(9+40=3x+4x\)
   \(49=7x\)
   \(x=7\).
4. \(0.6x-5.4=-0.8x+5.8\)
   \(0.6x+0.8x=5.8+5.4\)
   \(1.4x=11.2\)
   \(x=8\).
5. \(4.7-1.1x=0.5x-3.3\)
   \(4.7+3.3=0.5x+1.1x\)
   \(8=1.6x\)
   \(x=5\).
6. \(\frac{5}{6}x+16=\frac{4}{9}x+9\)
   \(\left(\frac{5}{6}-\frac{4}{9}\right)x=9-16\)
   \(\frac{7}{18}x=-7\)
   \(x=-7\cdot\frac{18}{7}\)
   \(x=-18\).

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