Đáp án:
$\begin{array}{l}
\frac{{x + 4}}{5} - x + 4 = \frac{x}{3} - \frac{{x - 2}}{2}\\
\Rightarrow \frac{{6\left( {x + 4} \right) + 30\left( { - x + 4} \right)}}{{30}} = \frac{{10x - 15\left( {x - 2} \right)}}{{30}}\\
\Rightarrow 6x + 24 - 30x + 120 = 10x - 15x + 30\\
\Rightarrow 19x = 114\\
\Rightarrow x = 6\\
Vậy\,x = 6\\
\frac{{5x + 2}}{6} - \frac{{8x - 1}}{3} = \frac{{4x + 2}}{5} - 5\\
\Rightarrow \frac{{5\left( {5x + 2} \right) - 10\left( {8x - 1} \right)}}{{30}} = \frac{{6\left( {4x + 2} \right) - 5.30}}{{30}}\\
\Rightarrow 25x + 10 - 80x + 10 = 24x + 12 - 150\\
\Rightarrow 79x = 158\\
\Rightarrow x = 2\\
Vậy\,x = 2
\end{array}$