Решите уравнение:|3x+4|=|4x+3|.

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

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

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

\[x = 1.\]

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

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

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

\[7x = - 7\]

\[x = - 1\]

\[Ответ:1;\ - 1.\]