Answer
x=3
Work Step by Step
In the given equation, $
\dfrac{6x+7}{2x+9}=\dfrac{5}{3}
,$ let
\begin{array}{l}\require{cancel}y_1=
\dfrac{6x+7}{2x+9}
\text{ (red graph)}\\y_2=
\dfrac{5}{3}
\text{ (blue graph)}
.\end{array}
The solution to the given equation is the $x$-coordinate of the point of intersection between $y_1$ and $y_2.$ Based on the graph below, the solution is $
x=3
.$
