The given equation is
[tex]-3x-9=x-1[/tex]First, we have to sum 9 on each side
[tex]\begin{gathered} -3x-9+9=x-1+9 \\ -3x=x+8 \end{gathered}[/tex]Now, we subtract x on each side
[tex]\begin{gathered} -3x-x=x+8-x \\ -4x=8 \end{gathered}[/tex]At last, we divide the equation by -4
[tex]\begin{gathered} \frac{-4x}{-4}=\frac{8}{-4} \\ x=-2 \end{gathered}[/tex]