\[\frac{x + 3}{3} = \frac{3 - x}{8}\]
\[8 \cdot (x + 3) = 3 \cdot (3 - x)\]
\[8x + 24 = 9 - 3x\]
\[8x + 3x = 9 - 24\]
\[11x = - 15\]
\[x = - \frac{15}{11}\]
\[x = - 1\frac{4}{11}.\]