Решите уравнение: |x+3|=2x+1.

\[|x + 3| = 2x + 1\]

\[x + 3 = 2x + 1\]

\[2x - x = 3 - 1\]

\[x = 2\]

\[x + 3 = - (2x + 1)\]

\[x + 3 = - 2x - 1\]

\[x + 2x = - 1 - 3\]

\[3x = - 4\]

\[x = - 1\frac{1}{3}\]

\[Ответ:2;\ - 1\frac{1}{3}.\]