Answer:
[tex]m=\frac{59}{88}[/tex]
Step-by-step explanation:
[tex]7(2m-1)-\frac{3m}{5}=\frac{6}{5}(4-3m)[/tex]
[tex]14m-7-\frac{3m}{5}=\frac{24}{5}-\frac{18m}{5}[/tex]
[tex]14m-\frac{3m}{5}+\frac{18m}{5}=\frac{24}{5}+7[/tex]
[tex]\frac{70m-3m+18m}{5}=\frac{24+35}{5}[/tex]
[tex]70m-3m+18m=24+35[/tex]
[tex]88m=59[/tex]
dividing both sides by 88
[tex]m=\frac{59}{88}[/tex]