Hi,
I already talked with maya1986 and i'm going to try and make it as clear as possible for everyone, hopefully once and for all.
The two standard formulas for EV calculations are:
EV = How often you win * what you win - how often you lose * what you lose
= equity * ( dead money + villain's bet ) - (1 - equity) * hero's call
and
EV = equity * TOTAL pot - what it costs you to find out
= equity * ( dead money + villain's bet + hero's call ) - hero's call
In case you're wondering how you get from one to the other:
- (1 - equity) * hero's call = - 1 * hero's call + equity * hero's call = equity * hero's call - hero's call
And that's the root of all the problems really, people mixing up the two formulas and either counting that term twice, or not at all. Usually because nobody defines the term "pot" correctly. In one formula it means everything including your call, in the other it means everything that you stand to net from the play. My advice, only learn one CORRECTLY and forget the other, both are easier applied in certain spots but if it's at the cost of you getting it wrong then it's not worth the shortcut.
That being said, the implied odds x should just be added to the dead money, and so in this hand that translates to:
EV = 0.23 * (4.35+2.5+x) - (1-0.23) * 2.5
and
EV = 0.23 * (4.35+2.5+2.5+x) - 2.5
Which i think equals to the infamous ~$1.5 for x.
Hope it clears things up and helps someone.