4) \(\frac{6,3-x}{2}\) = \(\frac{3,5+x}{6}\); 5) \(\frac{3x}{16}\) + \(\frac{x}{3}\) = \(\frac{1}{8}\)

Решение уравнений:

1. 4)
   

   \(\frac{6,3-x}{2} = \frac{3,5+x}{6}\)

   
   

   \(6(6,3-x) = 2(3,5+x)\)

   
   

   \(37,8 - 6x = 7 + 2x\)

   
   

   \(37,8 - 7 = 2x + 6x\)

   
   

   \(30,8 = 8x\)

   
   

   \(x = \frac{30,8}{8}\)

   
   

   \(x = 3,85\)

2. 5)
   

   \(\frac{3x}{16} + \frac{x}{3} = \frac{1}{8}\)

   
   

   Общий знаменатель для 16, 3, 8 равен 48.

   
   

   \(\frac{3 \times 3x}{48} + \frac{16 \times x}{48} = \frac{6 \times 1}{48}\)

   
   

   \(9x + 16x = 6\)

   
   

   \(25x = 6\)

   
   

   \(x = \frac{6}{25}\)

Ответ: 4) x = 3,85; 5) x = \(\frac{6}{25}\).