\[x - \frac{x - 3}{4} + \frac{x + 1}{8} > 2\ \ \ \ | \cdot 8\]
\[8x - 2 \cdot (x - 3) + x + 1 > 16\]
\[8x - 2x + 6 + x + 1 > 16\]
\[7x > 9\]
\[x > \frac{9}{7}\]
\[x > 1\frac{2}{7}\]
\[Ответ:x > 1\frac{2}{7}.\]