Finding voltage drop on a resistance using mesh analysis
simulate this circuit &ndash; Schematic created using CircuitLab

Assume clockwise direction for all currents in the schematic.

Using KCL: $$I_2 + 5 = I_4$$

For the meshes we get:

10*I2 - 16*I3 +  1*I4 =  0    -----     Loop with no sources
10*I2 - 11*I3 + 22*I4 =  5    -----     Loop with 5V source
 1*I2 +  0*I3 -  1*I4 = -5    -----     From previous equation


The equations exactly match with the ones you got. On solving, I got:

I2 ~ -4.156A
I3 ~ -2.545A
I4 ~ +0.844A
Vx ~ +3.389V


All these values are correct as you can test on any simulator.