|3x-5|=|1/2x+3|.... Giúp mình với

Đáp án:

`|3x-5|=|1/2x+3|`

⇔\(\left[ \begin{array}{l}3x-5=\dfrac{1}{2}x+3\\3x-5=-\dfrac{1}{2}x-3\end{array} \right.\) 

⇔\(\left[ \begin{array}{l}3x-\dfrac{1}{2}x=3+5\\3x+\dfrac{1}{2}x=-3+5\end{array} \right.\) 

⇔\(\left[ \begin{array}{l}3x-\dfrac{1}{2}x=3+5\\3x+\dfrac{1}{2}x=-3+5\end{array} \right.\) 

⇔\(\left[ \begin{array}{l}\dfrac{5}{2}x=8\\ \dfrac{7}{2}x=2\end{array} \right.\) 

⇔\(\left[ \begin{array}{l}x=\dfrac{16}{5}\\x=\dfrac{4}{7}\end{array} \right.\) 

                                 Vậy $x∈{\dfrac{16}{5};\dfrac{4}{7}}$