Решите уравнение: |3x+4|=|2x+9|.

\[|3x + 4| = |2x + 9|\]

\[3x + 4 = 2x + 9\]

\[3x - 2x = 9 - 4\]

\[x = 5.\]

\[3x + 4 = - (2x + 9)\]

\[3x + 4 = - 2x - 9\]

\[3x + 2x = - 9 - 4\]

\[5x = - 13\]

\[x = - \frac{13}{5} = - 2\frac{3}{5} = - 2,6.\]

\[Ответ:5;\ - 2,6.\]