Question

Seven times a number increased by three is 38

Answer 1

$n-the\ number\\\\7\times n+3=38\\7n+3=38\ \ \ \ |subtract\ 3\ from\ both\ sides\\7n=35\ \ \ \ |divide\ both\ sides\ by\ 7\\\\\boxed{n=5}$

Answer 2

So,

If we translate this into mathematical form, we get
7n + 3 = 38

Subtract 3 from both sides
7n = 35

Divide both sides by 7
n = 5