This is my approach so far:

^{simulate this circuit – Schematic created using CircuitLab}

I'm having problems with the third loop, only because of the fact that there are two batteries that are facing at each other; i tried to use falstad to see maybe if it'd show me the direction but it didnt so tha's why i'm asking for help from you guys! so far I know that:

loop 1: E1-R1-RL

loop 2: -E1+RL-E2+R2

loop 3: ??

node 1: Ie1=Ir1+Ix

Node 4: Ix=IR2+IE2

node 2: IV2+IR1=IRL

node 3: ??

Thank you : )!

This is my approach so far:

^{simulate this circuit – Schematic created using CircuitLab}

I'm having problems with the third loop, only because of the fact that there are two batteries that are facing at each other; i tried to use falstad to see maybe if it'd show me the direction but it didnt so tha's why i'm asking for help from you guys! so far I know that:

loop 1: E1-R1-RL

loop 2: -E1+RL-E2+R2

loop 3: ??

node 1: IV2+IR1=IRL

node 2: ??

node 3: IE1=IR1+Ix

node 4: Ix=IR2+IE2

Thank you : )!