\[|5x + 3| - 3 = 0\]
\[|5x + 3| = 3\]
\[5x + 3 = 3\ \ \ \ \ \ или\ \ \ 5x + 3 = - 3\]
\[5x = 0\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5x = - 6\]
\[x = 0\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = - \frac{6}{5}\]
\[Ответ:0;\ - 1,2.\]