ANSWER
[tex]a=4[/tex]EXPLANATION
We want to solve for a in the equation:
[tex]7-(a-3)=3(2a-6)[/tex]First, expand the brackets on both sides of the equation:
[tex]7-a+3=6a-18[/tex]Now, collect like terms:
[tex]\begin{gathered} -a-6a=-18-7-3 \\ \Rightarrow-7a=-28 \end{gathered}[/tex]Finally, divide both sides by -7:
[tex]\begin{gathered} \frac{-7a}{-7}=\frac{-28}{-7} \\ a=4 \end{gathered}[/tex]That is the answer.
