If the seven digit number $965x475$ is divisible by $9$, then the value of $x$ is:

A number is divisible by $9$ if the sum of its digits is a multiple of $9$.Let's find the sum of the digits of the number $965x475$:
$$\text{Sum}=9+6+5+x+4+7+5$$
$$\text{Sum}=36+x$$
For the number to be divisible by $9$, $(36+x)$ must be a multiple of $9$.Since $36$ itself is divisible by $9$, the single digit $x$ can either be $0$ or $9$.Looking at the options provided:A) 0B) 6C) 2D) 3The only matching single digit option is $0$. Therefore, $x=0$.