Giải phương trình |3x+4|=|x-2|

* Hướng dẫn giải

$\begin{array}{l}\left|3x+4\right|=\left|x-2\right|\\ \Rightarrow \left[\begin{array}{l}3x+4=x-2\\ 3x+4=2-x\end{array}\right.\iff \left[\begin{array}{l}2x=-6\\ 4x=-2\end{array}\right.\iff \left[\begin{array}{l}x=-3\\ x=-\frac{1}{2}\end{array}\right.S=\left\{-3;-\frac{1}{2}\right\}\end{array}$