Раскроем модуль:
\( 10x = 24 \)
\( x = \frac{24}{10} = \frac{12}{5} \)
\( 10x = -12 \)
\( x = -\frac{12}{10} = -\frac{6}{5} \)
Ответ: \( x = \frac{12}{5}, x = -\frac{6}{5} \).