To apply Kirchhoff's law, we'll consider the current divisions at the junctions.
Step 1: Identify the currents and resistances
We have three branches with currents I, 2 A, and 5 A, and two resistances, 3 Ω and 6 Ω.
Step 2: Apply Kirchhoff's current law (KCL)
The sum of currents entering a junction should equal the sum of currents leaving it.
Step 3: Write the KCL equation
I = 2 A + 5 A
Step 4: Solve for I
I = 7 A
The final answer is: 7