Question

5/8m - 3/8 = 1/2m + 7/8 

solve

Answer 1

`(5)/(8)m-(3)/(8)=(1)/(2)m+(7)/(8)\ \ \ \ |multiply\ both\ sides\ by\ 8\\\\8*(5)/(8)m-8*(3)/(8)=8*(1)/(2)m+8*(7)/(8)\\\\5m-3=4m+7\ \ \ \ \ |add\ 3\ to\ both\ sides\\\\5m=4m+10\ \ \ \ \ |subtract\ 4m\ from\ both\ sides\\\\\boxed{m=10}`

Answer 2

`(5)/(8m)-(3)/(8)=(1)/(2m)+(7)/(8) \\\\ (5)/(8m)-(1)/(2m)^((4)=(7)/(8)+(3)/(8) \\\\ (5-4)/(8m)=(10)/(8) \\\\ (1)/(8m)=(10)/(8) \\\\ 8m=(8*1)/(10) \\\\ m=(8)/(10)*(1)/(8) \\\\ \boxed{m=(1)/(10)}`