If the solution of the equation 1 / 2mx-5 / 3 = 1 / 2 (x-4 / 3) about X is a positive integer, find the value of the integer M

If the solution of the equation 1 / 2mx-5 / 3 = 1 / 2 (x-4 / 3) about X is a positive integer, find the value of the integer M

It can be obtained from 1 / 2mx-5 / 3 = 1 / 2 (x-4 / 3)
(m-1)x = 2
Because x is a positive integer and M is an integer
Then x can only be 1 or 2
When x = 1, M = 3
When x = 2, M = 2