Is it possible to find the voltage Vx using mesh analysis? if yes, how?
Use Ohm's law.

Since 9Ohm and 72Ohm resistors are in parallel, the voltage across their terminals has to be equal. And since I3 flows trough the 72Ohm resistor (and no other current), you can calculate the voltage across its terminals using Ohm's law.

U=I*R. U=1/3A*72Ohm=24V


Or, you can calculate the net current flowing trough the 9Ohm resistor. Because I2 and I3 flow in opposite directions, the net current will be their difference.

Ir=I2-I3=3A-1/3A=8/3A
Ur=8/3A*9Ohm=24V


The answers from both methods match, which is good.