\(\Leftrightarrow6x+4-5\left|x\right|=16\\ \Leftrightarrow5\left|x\right|=6x-12\\ \Leftrightarrow\left[{}\begin{matrix}5x=6x-12\left(x\ge0\right)\\5x=12-6x\left(x< 0\right)\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=12\left(tm\right)\\x=\dfrac{12}{11}\left(ktm\right)\end{matrix}\right.\)