When m is what number, the solution of the equation MX = 4-x is a positive integer?

When m is what number, the solution of the equation MX = 4-x is a positive integer?

mx=4-x
(m+1)x=4
When m = - 1, there is no solution
When m ≠ - 1
x=4/(m+1)
4/(m+1)>0
The solution is a positive integer,
1)m+1=1,m=0
2)m+1=2,m=1
3)m+1=4,m=3
So when m = 0,1,3, the solution of the equation is a positive integer