\[3\frac{3}{4}x - 1\frac{2^{\backslash 4}}{3} = 2\frac{11}{12}\]
\[\frac{15}{4}x = 2\frac{11}{12} + 1\frac{8}{12}\]
\[\frac{15}{4}x = 3\frac{19}{12}\]
\[x = \frac{55 \cdot 4}{12 \cdot 15} = \frac{11}{9}\]
\[x = 1\frac{2}{9}.\]