Answer :
[tex]5g+4(-5+3g)=1-g\\\\
5g-20+12g=1-g\\\\
17g-20=1-g\ \ \ \ |Add\ g\ to\ each\ side\\\\
18g-20=1\ \ \ |Add\ 20\ to\ each\ side\\\\
18g=21\ \ \ |Divide\ by\ 18\\\\
\boxed{g=\frac{21}{18}}[/tex]
[tex]5g+4(-5+3g)=1-g \\\\ 5g-20+12g=1-g \\\\ 17g-20=1-g\\\\ 17g+g=1+20\\\\18g=21 \\\\ \boxed{g=\frac{21}{18}=\frac{7}{6}}[/tex]