Taking LCM of 1 and 2 on LHS = 2 and 1 and 3 on RHS = 3

Taking transposition

⇒ 3(m + 1) = 2(5 - m)

⇒ 3m + 3 = 10 - 2m

⇒ 5m = 7

⇒ m = 7/5