Step 1:

Find the current through 8 resistor :

Super Position Theorem :

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

Indicate the direction of current in the above circuit.

Equivalent resistance :

6 resistor is in parallel with 8 resistor.

Resistance R_T is in series with 4 resistor.

Step 2:

Circuit current :

Current across each resistor :

Step 3:

Now Short circuit the second voltage source.

Indicate the direction of current in the above circuit.

Equivalent resistance :

4 resistor is in parallel with 8 resistor.

Resistance R_T is in series with 6 resistor.

Step 4:

Circuit current :

Current across each resistor :

 Step 5:

Current through Load resistor 8 =

             = Current produced by 8 resistor due to 5 V + Current produced by 100 resistor due to 7V

             =0.2884+0.2692

             = 0.5576

Current through 8 resistor is 0.5576 A.

 Solution:

Current through 8 resistor is 0.5576 A.