If 38 is congruent to x(mod5), find the values of x. Please explain this question at every point.

Dear Student,

a is congruent to b (mod c) 
This means that when a is divided by c we get b as a remainder.

Therefore, 38 is congruent to x ( mod 5)
Means that when 38 is divided by 5, we get x as a remainder.
When 38 is divided by 5, then 3 is remainder. Therefore, x=3.

Regards,