Answer:
The solution to the equation is;
[tex]x=-1[/tex]Explanation:
Given the equation;
[tex]-3x-6=9x+6[/tex]firstly, let us subtract 6 from both sides;
[tex]\begin{gathered} -3x-6-6=9x+6-6 \\ -3x-12=9x \end{gathered}[/tex]then we can add 3x to both sides;
[tex]\begin{gathered} -3x+3x-12=9x+3x \\ -12=12x \end{gathered}[/tex]lastly, divide both sides by 12;
[tex]\begin{gathered} \frac{-12}{12}=\frac{12x}{12} \\ -1=x \\ x=-1 \end{gathered}[/tex]Therefore, the solution to the equation is;
[tex]x=-1[/tex]
