The given equation is
[tex]6x+9=2x+13[/tex]First, we subtract 2x on each side.
[tex]\begin{gathered} 6x+9-2x=2x-2x+13 \\ 4x+9=13 \end{gathered}[/tex]Then, we subtract 9 on each side.
[tex]\begin{gathered} 4x+9-9=13-9 \\ 4x=4 \end{gathered}[/tex]At last, we divide the equation by 4.
[tex]\begin{gathered} \frac{4x}{4}=\frac{4}{4} \\ x=1 \end{gathered}[/tex]