Force problem involving two pulleys and three masses

[humbucker740]

Homework Statement

A block with a mass of 8.00 kg rests on a frictionless table. On both sides of the table are frictionless pulleys. Two hanging blocks are attached to the block on the table though these pulleys with two cords (one block on each side). On the left side of the table the block has a mass of 3.40 kg. On the right side the mass of the block is 12.0 kg.

What is the tension of the cord on the right?

Homework Equations

F=ma...

The Attempt at a Solution

My only idea is that the pulleys cause the tension to all take effect upon the x-axis. Gravity obviously takes effect on both hanging blocks. The normal force is taking effect upon the block on the table. I'm at a loss on how to proceed with this problem.

 

[Hootenanny]

You should start by examining all the forces acting on each block and then applying Newton's second law to each block individually.