All of this arguring and cussing is uncalled for. Enough of that. I will help you wth the math problem.
\(6\times(m-3)>5\times(2m+4)\)
\(6m-18>5\times(2m+4)\)
\(6m-18>10m+20\)
\(6m-18-10m>10m+20-10m\)
\(-4m-18>10m+20-10m\)
\(-4m-18>20-0m\)
\(-4m-18>20-0\)
\(-4m-18>20\)
\(-4m-18+18>20+18\)
\(-4m-0>20+18\)
\(-4m>20+18\)
\(-4m>38\)
\(\frac{-4m}{-4}>\frac{38}{-4}\)
\(1m<\frac{38}{-4}\)
\(m<\frac{38}{-4}\)
\(m<-\frac{38}{4}\)
\(m<-\frac{19}{2}\)
\(m<-9.5\)