We are given equation : mx =5.
We need to solve the equation for m first.
m is being multiplied with x.
So, we need to get rid m from left side.
The reverse operation of multiplication is division, so we need to divide both sides by m, we get
[tex]\frac{mx }{m} = \frac{5}{m}[/tex]
x = [tex]\frac{5}{m}[/tex].
Please see, we have m in denominator.
So, we can't have 0 in denominator.
For all other each real numbers x would have a single solution.