A box experiences a 20 N force to the left and two different 8 N forces to the right, is that will accelerate to the right, to the left, or will not accelerate at all

that the acceleration is negative therefore it is directed to the left.

Explanation:

To find the acceleration of a system we must use Newton's second law

          ∑ F = m a

To apply this equation to our case we set a reference system where the direction to the right is positive.

We have 3 forces, a force F₁ = -20 N, a negative sign indicates that it is directed to the left, two forces F₂ and F₃ of magnitude 8N each directed to the right.

We substitute

            -F₁ + F₂ + F₃ = m a

           - 20 +8 + 8 = m a

             -4 = m a  

             a = -4 / m

Here we can see that the acceleration is negative therefore it is directed to the left.

the answer for apex is the lowest