Решите уравнение: 1) x + 4 15 x = 6 1 3 ; 2) 3 16 x + 1 4 x = 5 7 8 ; 3) 1 2 x + 1 3 x + 1 4 x = 26 27 ; 4) 2 1 3 x - 2 3 5 x = 1 2 15 ; 5) 4 5 12 x - 5 3 5 x = 2 2 3 ; 6) 5 18 x + 2 1 2 = 10 5 6 .

4. Решите уравнение:

1. \( x + \frac{4}{15}x = 6\frac{1}{3} \)
   \( \frac{15+4}{15}x = \frac{19}{3} \)
   \( \frac{19}{15}x = \frac{19}{3} \)
   \( x = \frac{19}{3} \cdot \frac{15}{19} = 5 \)
2. \( \frac{3}{16}x + \frac{1}{4}x = 5\frac{7}{8} \)
   \( \frac{3+4}{16}x = \frac{47}{8} \)
   \( \frac{7}{16}x = \frac{47}{8} \)
   \( x = \frac{47}{8} \cdot \frac{16}{7} = \frac{47 \cdot 2}{7} = \frac{94}{7} = 13\frac{3}{7} \)
3. \( \frac{1}{2}x + \frac{1}{3}x + \frac{1}{4}x = \frac{26}{27} \)
   \( \frac{6+4+3}{12}x = \frac{26}{27} \)
   \( \frac{13}{12}x = \frac{26}{27} \)
   \( x = \frac{26}{27} \cdot \frac{12}{13} = \frac{2 \cdot 4}{9} = \frac{8}{9} \)
4. \( 2\frac{1}{3}x - 2\frac{3}{5}x = 1\frac{2}{15} \)
   \( \frac{7}{3}x - \frac{13}{5}x = \frac{17}{15} \)
   \( \frac{35-39}{15}x = \frac{17}{15} \)
   \( -\frac{4}{15}x = \frac{17}{15} \)
   \( x = \frac{17}{15} \cdot (-\frac{15}{4}) = -\frac{17}{4} = -4\frac{1}{4} \)
5. \( 4\frac{5}{12}x - 5\frac{3}{5}x = 2\frac{2}{3} \)
   \( \frac{53}{12}x - \frac{28}{5}x = \frac{8}{3} \)
   \( \frac{265 - 336}{60}x = \frac{8}{3} \)
   \( -\frac{71}{60}x = \frac{8}{3} \)
   \( x = \frac{8}{3} \cdot (-\frac{60}{71}) = -\frac{8 \cdot 20}{71} = -\frac{160}{71} = -2\frac{18}{71} \)
6. \( \frac{5}{18}x + 2\frac{1}{2} = 10\frac{5}{6} \)
   \( \frac{5}{18}x = 10\frac{5}{6} - 2\frac{1}{2} = \frac{65}{6} - \frac{5}{2} = \frac{65 - 15}{6} = \frac{50}{6} = \frac{25}{3} \)
   \( \frac{5}{18}x = \frac{25}{3} \)
   \( x = \frac{25}{3} \cdot \frac{18}{5} = 5 \cdot 6 = 30 \)