Developing an intuition about this circuit
There are several ways to intuitively understand the circuit operation. 
I will list two most fundamental concepts that can be used to analyze this circuit:
1. Superposition principle
2. Thevenin/Norton equivalents

In both cases, analyses are simplified because they allow us to have a circuit with resistors and onnly voltage or current sources but not both. 


Superposition principle:
That basically means you can consider voltage/current sources one at at time in the circuit and the resultant circuit parameters would be just a direct sum of the individual results.
This is a bit longer because the circuit has to be analyzed twice. 
Thevenin/Norton equivalent:
This allows us to convert a voltage source to an equivalent current source or vice versa. It is very easy, for example, to analyse the circuit if there were just two current sources in parallel, because they can be directly summed to give a single equivalent current source. 
the circuit would then have a current source of 2V/4 ohms = 0.5 A and a parallel resistance of 4 ohms. Therefore, you just have a net current of 3.5 A flowing through a resistor of (4 || 5) ohms. 


All of these methods can be applied. The determining factor remains which quantity for the circuit is required to be known at a given instant. Some practice would get you to intuitively choose the least computationall intensive and the most intuitive method of analyzing the circuit.