Giải phương trình |3x+2|=x+1

* Hướng dẫn giải

$\begin{array}{l}\left|3x+2\right|=x+1\left(32\right)\\ +)x\ge \frac{-2}{3}\Rightarrow \left(32\right)\iff 3x+2=x+1\iff x=-\frac{1}{2}(tm)\\ +)x<-\frac{2}{3}\Rightarrow \left(32\right)\iff -3x-3=x+1\iff x=-1(ktm)S=\left\{-\frac{1}{2}\right\}\end{array}$