Direction of current in Multiple Batteries In multiloop circuits where we have to apply Kirchoff law, with multiple batteries, I am having a bit of difficulty figuring out what direction and from which battery would the current originate. 
For example take this circuit where would the current originate and why and in which direction?
 A: 
take this circuit where would the current originate 

Current must flow in complete loops. Or put another way, charge is a conserved quantity. So current doesn't have an origin the way, for example, electric field does.

and why and in which direction?

Since R1 has a voltage source directly across it, you should be able to find the direction of current through that resistor immediately. But consider what might happen if $\varepsilon_2$ has a negative value.
For R2, you can write a KVL equation for the upper loop and also get its current very quickly. But the actual direction will depend on the values of $\varepsilon_1$, $\varepsilon_2$, and $\varepsilon_3$.
A: 
For example take this circuit where would the current originate and why and in which direction?

One of the great things about circuit theory is that it doesn’t matter. Just guess. If you guess right the number will be positive and if you guess wrong then the number will be negative. But negative numbers are perfectly valid so it doesn’t matter!
When I do mesh current analysis I always just assume every mesh current goes clockwise. 
