$|3x-12|=x+2$
⇔ \(\left[ \begin{array}{l}3x-12=x+2\\3x-12=-x-2\end{array} \right.\)
⇔ \(\left[ \begin{array}{l}3x-x=12+2\\3x+x=12-2\end{array} \right.\)
⇔ \(\left[ \begin{array}{l}2x=14\\4x=10\end{array} \right.\)
⇔ \(\left[ \begin{array}{l}x=7\\x=\frac{5}{2}\end{array} \right.\)
Thay $x=7$ ⇒ $TM$
$x=\frac{5}{2}$ ⇒ $TM$
Vậy $x=\frac{5}{2}$ hoăc $x=7$