Answer
m equals (5/3).
Steps
((3m-5)/(m-3) ) plus (1/2)X 2(2m-3) equals (2m-3).
((3m-5)/(m-3)) plus (2m-3) equals (2m-3).
(2m-3) cancels out.
((3m-5)/(m-3)) equals 0.
It implies 3m-5 equals 0.
m equals 5/3.
m equals (5/3).
((3m-5)/(m-3) ) plus (1/2)X 2(2m-3) equals (2m-3).
((3m-5)/(m-3)) plus (2m-3) equals (2m-3).
(2m-3) cancels out.
((3m-5)/(m-3)) equals 0.
It implies 3m-5 equals 0.
m equals 5/3.