Answer :
[tex]2(4a-12)+3a=6a+1\\\\
8a-24+3a=6a+1\\\\
11a-24=6a+1\ \ \ |Subtract\ 6a\\\\
5a-24=1\ \ \ |Add\ 24\\\\
5a=25\ \ \ |Divide\ by\ 5\\\\
a=5\\\\Solution\ is\ a=5.[/tex]
[tex]2(4a-12)+3a=6a+1 \\\\ 8a-24+3a=6a+1 \\\\ 11a-24=6a+1 \\\\ 11a-6a=1+24 \\\\ 5a=25 \\\\ \boxed{a=\frac{25}{5}=5}[/tex]