Hello, szucslaszlo!
. . $\displaystyle \displaystyle \left\frac{3x2}{x1}\right \:=\: 2$
I blush to confess that I got tangled up in my algebra,
. . so I tried a graphical approach.
The graph of $\displaystyle y \:=\:\dfrac{3x2}{x1}$ looks like this:
Code:

 :
 :*
 :
 : *
 : *
 : *
 : *
3 : *
   +     :        
*  :
* :
 * :
+*:
 * :1
 :
 * :
 :
 :
 *:
 :
 :
 :
 *:

In the graph of $\displaystyle y \,=\,\left\dfrac{3x2}{x1}\right$
. . everything below the $\displaystyle x$axis is reflected upward.
Code:

 :
 :*
 *:
 : *
 : *
 : *
 *: *
3 : *
   +     :        
*  * :
* :
 * * :
+*:
 :1
 :

And we want the points where $\displaystyle y \,=\,2.$
Code:

 :
 :*
 :
 : *
 : *
 : *
 *: *
 : *
. . . + . . . . : . . . . . . . .
*  *:
   ♥    ♥ :      y = 2
 * * :
+*:
 :1
 :

Now that I can see the solution, I can do the algebra.
The answers are: .$\displaystyle x \:=\:0,\,\frac{4}{5}$