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Algebra

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I am cramming for an examine. I can not locate one of my graded lessons with all my notes. I am trying to redo the equaitons. I am really stuck on how to simplify this one.

Problem:

Studies indicate that the price elasticity of demand for cigarettes is about 0.4. If a pack of cigarettes currently costs $2 and the govenment wants to reduce smoking by 20 percent, by how much should the government increase the price?

The teacher wrote this out for the answer. I am not clear on how it is simplified to come down to the answer on 3.33

P2-2```2(P2-2)
_____= _______=0.5
(P2+2)``P2+2

2P2-4=0.5P2+1

1.5P2=5

P2=3.33

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