Answer:
The cart will accelerate to the left
Step-by-step explanation:
The cart is initially at rest. In order to understand its motion, we should consider the net force acting on the cart. We have two forces acting on it:
- A force of 7 N to the left
- A force of 5 N to the right
Therefore, the net force is

in the direction of the stronger force (so, to the left).
According to Newton's second law:

a net force different from zero produces an acceleration of the object, in the same direction as the net force. Therefore, the cart will accelerate to the left.