Question: 2014 Fall Final - 22

I flip a fair coin, independently, 6 times, resulting in a sequence of heads ($H$) and tails ($T$). For each (consecutive) $HTH$ in this sequence, you win \$5. Define the random variable $X$ to be the amount of dollars that you win. For example, if the sequence is $$ THTHTH, $$ then $X = 10$. What is the expected value of $X$?