Answer:
[tex]m=1\\m=\frac{5}{3}[/tex]
Step-by-step explanation:
[tex]12 - 3m = 4 + \frac{5}{m}[/tex]
[tex]8=\frac{5}{m} +3m[/tex]
Multiply the whole thing by m
[tex]8m = 5 +3m^{2}[/tex]
[tex]3m^{2} -8m + 5 = 0[/tex]
[tex](3m^{2} -3m) + (-5m +5)[/tex]
[tex]3m(m-1)-5(m-1)=0[/tex]
[tex]3m-5=1\\m-1=0[/tex]
[tex]m=1\\m=\frac{5}{3}[/tex]