Step 1:

Find the current through 11 resistor :

Super Position Theorem :

Take 4V voltage source at a time and replace all other with short or internal resistance.

Equivalent resistance :

11 resistor is in parallel with 7 resistor.

Resistance R_T is in series with 5 resistor.

Resistance R_P is in parallel with 9 resistor.

Resistance R_Q is in series with 3 resistor.

Step 2:

Circuit current :

Current across each resistor :

.

Step 3:

Now Short circuit the second voltage source.

Take 8V voltage source at a time and replace all other with short or internal resistance.

Equivalent resistance :

3 resistor is in parallel with 9 resistor.

Resistance R_T is in series with 5 resistor.

Resistance R_P is in parallel with 11 resistor.

Resistance R_Q is in series with 7 resistor.

Step 2:

Circuit current :

Current across each resistor :

.

 Step 5:

Current through 11 resistor =

             = Current produced by 11 resistor due to 8 V - Current produced by 11 resistor due to 4 V

                   (Since they are in opposite direction)

             = 0.649 - 0.132

             = 0.517

Current through 11 resistor is 0.517 A.