To solve the equation, we first add 9 to both sides:
[tex]\begin{gathered} 6x-9=15 \\ 6x-9+9=15+9 \\ 6x=24 \end{gathered}[/tex]Now, we divide by 6 from both sides of the equation:
[tex]\begin{gathered} \frac{6x}{6}=\frac{24}{6} \\ $\boldsymbol{x=4}$ \end{gathered}[/tex]Therefore, the solution for the given equation is x = 4.