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 $a+b$ .

Hint: Use chain rule.