For the equation MX + 4 = 3x-n of X, when we find the values of M and N respectively, the original equation: (1) has unique solution (2) has numerous solutions (3) has no solution

For the equation MX + 4 = 3x-n of X, when we find the values of M and N respectively, the original equation: (1) has unique solution (2) has numerous solutions (3) has no solution

Transfer items, merge similar items, get
3x-mx=n+4
Namely
(3-m)x=n+4
(1) When 3-m ≠ 0, i.e. m ≠ 3, the original equation has a unique solution
x=n+4/3-m
(2) When 3-m = 0, N + 4 = 0, i.e. M = 3, n = 4, there are innumerable solutions
When 3-m = 0, N + 4 ≠ 0, i.e. M = 3, n ≠ - 4, the original equation has no solution