Step 1 :The given equation is in the form of a natural logarithm. To solve for x, we need to convert the equation from logarithmic form to exponential form. The base of natural logarithm is 'e'. So, the equation can be rewritten as \(e^6 = -3x + 5\).
Step 2 :Then, we can solve for x. The solution is \(x = -132.8096\).
Step 3 :Final Answer: \(\boxed{-132.8096}\)