Can you plss find the mistake show how to correct it plss

Given an equation to solve:
[tex]3(x-2)+6=12x+18[/tex]The solution of the given equation is as follows:
[tex]\begin{gathered} 3(x-2)+6=12x+18 \\ 3x-6+6=12x+18 \\ 3x=12x+18 \\ 3x-12x=12x+18-12x \\ -9x=18 \\ \frac{-9x}{-9}=\frac{18}{-9} \\ x=-2 \end{gathered}[/tex]Thus, x = -2.