Answer
$3s-8+\frac{{29}}{2s+3}$
Work Step by Step
Re-arranging the order of the terms, the given is equivalent to
$$
(6s^2-7s+5)÷(2s+3)
.$$
Using the long division method shown below, then
$$\begin{aligned}
&
(6s^2-7s+5)÷(2s+3)
\\&=
3s-8+\frac{\color{red}{29}}{\color{red}{}\color{blue}{2s+3}}
.\end{aligned}
$$
