\[\frac{x - 5}{4x + 4} - \frac{x - 2}{x + 1} =\]
\[= \frac{x - 5}{4 \cdot (x + 1)} - \frac{x - 2^{\backslash 4}}{x + 1} =\]
\[= \frac{x - 5 - 4 \cdot (x - 2)}{4 \cdot (x + 1)} =\]
\[= \frac{x - 5 - 4x + 8}{4 \cdot (x + 1)} =\]
\[= \frac{- 3x + 3}{4 \cdot (x + 1)} = - \frac{3 \cdot (x - 1)}{4 \cdot (x + 1)} =\]
\[= \frac{3 \cdot (1 - x)}{4 \cdot (x + 1)}\]