Step 1:
\Find the thevenins equivalent voltage.
\1.Open the load resistor.
\2.Calculate the Open Circuit Voltage. This is the Thevenin Voltage .
Redraw the circuit :
\Find the current in loop.
\.
Voltage due to the resistor .
.
Step 2:
\Find Thevenin Voltage .
Thevenin Voltage .
.
Therefore Thevenin Voltage .
Observe the circuit,
\.
Voltage at the resistor .
.
Substitute and
.
Solution :
\.