\[\frac{2x + 9}{4} - \frac{x - 2}{6} = 3\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ | \cdot 12\]
\[3 \cdot (2x + 9) - 2 \cdot (x - 2) = 3 \cdot 12\]
\[6x + 27 - 2x + 4 = 36\]
\[4x = 36 - 31\]
\[4x = 5\]
\[x = \frac{5}{4}\]
\[x = 1\frac{1}{4}.\]
\[Ответ:x = 1,25.\]