Can you survive from all magicians?

Algebra Level 2

There are three houses. There is a magician in each house. At the door of each house there is a peon who takes 2$ when-ever you enter or exit from the house. The magician in the house doubles your amount. For example, if you have 5$, when you enter in first house, peon will take 2$ from you, Now you have 3$ left. The magician will double you amount to 6$, when you step out from the house the peon will take 2$ again then when you enter in 2nd house the peon will take 2$ again.... and so on. Now you have to choose a specific amount that when you exit from the last house you have nothing in your hand (i.e, zero $). {Type your answer like this...... 2 , 3.5 , 7.25 , ........}

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