According to the given question we have the following equation to solve:
[tex]\frac{5}{2}=\text{ }\frac{\text{7m + 3}}{m\text{ - 7}}[/tex]To calculate this equation we would use the following property:
Apply fraction cross multiply:
For example if:
[tex]\frac{a}{b}=\frac{c}{d}\text{ then a}\times d=b\times c[/tex]Therefore,
5(m-7)=2(7m+3)
5m -35=14m + 6
5m-14m=6+35
-9m=41
m=-41/9