As stated I think there is no way to solve this problem except numerically.
Arrange the equation so that you have all the terms on the left and 0 on the right.
Then graph the expression on the left and get the zero.
This is the place where computers are excellent.
There is no reason to use methods like Newton's method or interval halving, when a computer can graph
the expression virtually instantaneously and give you the required root.
Note: If you get a better answer than this one, I would appreciate knowing what it is. I can ALWAYS learn something new!