The given equation is
[tex]3(x-8)=6x-18[/tex]First, we use the distributive property
[tex]3x-24=6x-18[/tex]We add 24 on each side
[tex]\begin{gathered} 3x-24+24=6x-18+24 \\ 3x=6x+6 \end{gathered}[/tex]Now, we subtract 6x on each side
[tex]\begin{gathered} 3x-6x=6x+6-6x \\ -3x=6 \end{gathered}[/tex]At last, we divide the equation by -3
[tex]\begin{gathered} \frac{-3x}{-3}=\frac{6}{-3} \\ x=-2 \end{gathered}[/tex]