We can do the following steps to solve the equation for x.
Step 1: We combine similar terms on the left side.
[tex]\begin{gathered} 6x-9+51=180 \\ 6x+42=180 \end{gathered}[/tex]Step 2: We subtract 42 from both sides.
[tex]\begin{gathered} 6x+42-42=180-42 \\ 6x=138 \end{gathered}[/tex]Step 3: We divide by 6 from both sides.
[tex]\begin{gathered} \frac{6x}{6}=\frac{138}{6} \\ x=23 \end{gathered}[/tex]AnswerThe solution of the equation is x = 23.