\(\Leftrightarrow\frac{x}{5}+\frac{4}{5}-x+4=\frac{x}{3}-\frac{x}{2}+1\)
\(\Leftrightarrow\left(\frac{1}{5}-1-\frac{1}{3}+\frac{1}{2}\right)x=1-4-\frac{4}{5}\)
\(\Leftrightarrow-\frac{19}{30}x=-\frac{19}{5}\Leftrightarrow x=6\)
\(\begin{array}{l} \dfrac{{x + 4}}{5} - x + 4 = \dfrac{x}{3} - \dfrac{{x - 2}}{2}\\ \Leftrightarrow 6\left( {x + 4} \right) - 30x + 120 = 10x - 15\left( {x - 2} \right)\\ \Leftrightarrow 6x + 24 - 30x + 120 = 10x - 15x + 30\\ \Leftrightarrow - 24x + 144 = - 5x + 30\\ \Leftrightarrow - 24x + 5x = 30 - 144\\ \Leftrightarrow - 19x = - 114\\ \Leftrightarrow x = 6 \end{array}\)
