Hand Review: I made a terrible play but it worked out! Deep discussion required!

 Alright this is my first hand review! I decided to put a terrible hand on here that  way I could get a lot of in-depth discussion and criticism. A lot of Reddit readers also wanted to get some deep poker discussion going. Hopefully this satisfies and opens a lot up of talk!

So let me explain my play in this hand. I was BB and called the pot odds despite being out of position to call as well. I hit my five and bet putting this guy on over cards. I was re-raised on the flop, however this villain likes to re-raise a lot more then they should. So I went over the top! I bad beat the bastard and probably paid for it the next hand because I got KK and lost to QTo.

Questions
What is the estimated loss of equity making this play long term?
What are other potential options when PLAYING this hand?
Anything else is up for discussion as well!


Merge - $.50+$0.10|<> NL - Holdem - 9 players
Hand converted by PokerTracker 3: http://www.pokertracker.com

MP+1: 1,387.00
LP: 1,030.00
CO: 1,420.00
BTN: 1,675.00
SB: 3,765.00
Hero (BB): 1,015.00
UTG: 1,510.00
UTG+1: 1,686.00
MP: 1,512.00

SB posts SB 25.00, Hero posts BB 50.00

Pre Flop: (75.00) Hero has Kd 5d

fold, fold, fold, fold, fold, fold, BTN raises to 100.00, fold, Hero calls 50.00

Flop: (225.00, 2 players) 5s Td 7h
Hero bets 112.00, BTN raises to 224.00, Hero raises to 915.00 and is all-in, BTN calls 691.00

Turn: (2055.00, 2 players) Kh

River: (2055.00, 2 players) 4s

BTN shows Ts Jh (One Pair, Tens) (PreFlop 43%, Flop 75%, Turn 5%)
Hero shows Kd 5d (Two Pair, Kings and Fives) (PreFlop 57%, Flop 25%, Turn 95%)
Hero wins 2,055.00