Brian's number

Brian chooses an integer and operates on it. Work out the largest integer that he could have chosen.

Problem



Brian chooses an integer, multiplies it by 4 then subtracts 30. He then multiplies his answer by 2 and finally subtracts 10. His answer is a two-digit number.

What is the largest integer he could have chosen?

This problem is taken from the UKMT Mathematical Challenges.