10. Xiao Ming and Xiao Qiang are playing a number game. Xiao Ming chose a number $x$ (between 0 and 9), and then said: “I am thinking of a three-digit number (the hundreds place can be 0), where the hundreds digit is $x$, the tens digit is 3, and it is divisible by 11. Can you find the units digit of this three-digit number?” Xiao Qiang was very happy because he knew the rule for numbers divisible by 11. However, after thinking, he found that such a three-digit number does not exist. Then $x=$ $\qquad$ _-
【Analysis】Let's assume this three-digit number is $\overline{x 3 y}$. If this three-digit number is divisible by 11, then $11 \mid x+y-3$. According to the problem, no matter which of the ten digits from 0 to 9 $y$ is, this three-digit number cannot be divisible by 11. Therefore, we should have $1 \leq x+y-3 \leq 10$, which means when $y$ takes the values from 0 to 9, $x+y-3$ sequentially corresponds to 1 to 10, so $x=4$.