\[\frac{1^{\backslash 6}}{4}x + \frac{1^{\backslash 4}}{6}x + \frac{1^{\backslash 3}}{8}x = \frac{39}{56}\]
\[\frac{6 + 4 + 3}{24}x = \frac{39}{56}\]
\[\frac{13}{24}x = \frac{39}{56}\]
\[x = \frac{39 \cdot 24}{56 \cdot 13} = \frac{9}{7}\]
\[x = 1\frac{2}{7}.\]