Calling All Math Brains

I had my recurring dream theme again, in which I forgot to attend a math class for most of the semester. While leafing through one of 6 math texts I looked over some equations to see if I had any hope of passing the exam. THIS is the equation I remember…

(658 x 86)e  e  e  e  e = 2  2  2  2  2  2   (Solve for e).

rules the dream made me aware of:
1) There are no commas between the e’s or the 2’s. They are not lists.

2) The solver must determine what is inserted between e’s and 2’s. Could be additive (+), subtractive (-), divisible (/), or multiplied (x), OR any combination of these.

3) The (658 x 86) must be multiplied by the first ‘e’ or result of the combined e’s.

I am terrible at math. I have no idea if this is solvable or not. I only dreamed it up. BUT, I would reeeeaaaaallllllly like for someone to try their math skills at this and let me know what you find? Challenge accepted?