\[\left\{ \begin{matrix} 7x - 12 > 3x - 20 \\ 5 - 2x > 4x + 29\ \ \\ \end{matrix} \right.\ \]
\[\left\{ \begin{matrix} 7x - 3x > - 20 + 12 \\ - 2x - 4x > 29 - 5\ \ \ \\ \end{matrix} \right.\ \]
\[\left\{ \begin{matrix} 4x > - 8\ \ \\ - 6x > 24 \\ \end{matrix} \right.\ \]
\[\left\{ \begin{matrix} x > - 2 \\ x < - 4 \\ \end{matrix} \right.\ \]
\[- 2 < x < - 4.\]
\[Ответ:\ - 2 < x < - 4.\]