Answer:
m = - 13.5
Step-by-step explanation:
Given
[tex]\frac{2m}{3}[/tex] + [tex]\frac{1}{2}[/tex] - [tex]\frac{m}{5}[/tex] = [tex]\frac{4m}{5}[/tex] + 5
Multiply through by 30 ( the LCM of 3, 2, 5 ) to clear the fractions
20m + 15 - 6m = 24m + 150 , that is
14m + 15 = 24m + 150 ( subtract 24m from both sides )
- 10m + 15 = 150 ( subtract 15 from both sides )
- 10m = 135 ( divide both sides by - 10 )
m = - 13.5
