If the mean, median, and mode are the same what is the value of x when given the numbers

Question

3,4,5,8,x

I am not sure how to figure this out
thanks for your help.

Answer 1

The mean is 20 + x/5
For that to be an integer, x must be a multiple of 5.

The mean must be greater than 4, since the mean of 3,4,5,8 is already 4.

For the mean to be 5, x=5
Also, the mode is 5
And the median is 5.

Answer 2

Thanks so much Steve.