Transparent deviation

Calculus Level 2

\[ \displaystyle \large \dfrac{d}{dx} \left(e^{3x-2}\right) = 3\]

The real value of \(x\) can be written in the form \(\dfrac{a}{b}\), where \(a\) and \(b\) are coprime positive integers. Find the value of \(a+b\).