a) 2|5x - 3| - 2x = 14
=> 2|5x - 3| = 14 + 2x
=> |5x - 3| = x + 7
=> \(\orbr{\begin{cases}5x-3=x+7\\5x-3=-x-7\end{cases}}\)
=> \(\orbr{\begin{cases}5x-x=7+3\\5x+x=-7+3\end{cases}}\)
=> \(\orbr{\begin{cases}4x=10\\6x=-4\end{cases}}\)
=> \(\orbr{\begin{cases}x=\frac{5}{2}\\x=-\frac{2}{3}\end{cases}}\)(tm)