
Go to any lenghts
Go great lengths / Sell one's mother / Give one's eyeteeth for something / Give the world

Fare carte false 
Go great lengths / Sell one's mother / Give one's eyeteeth for something / Give the world

Fare carte false 
Meanings
To go to extremes to reach one's goal
Examples
I'd go to any lenghts to spend spring in Paris
Farei carte false pur di passare la primavera a Parigi
He would sell his mother to become a professional basketball player, but he's knee-high to a grasshopper!
Farebbe carte false per diventare un giocatore professionista di pallacanestro, ma è un tappo!
Why all the nasty vitriolic comments on the famous actress wearing a bikini shortly after having a baby and showing a non-perfect body. How unkind! A lot of women would go to any lengths to look like that in a bikini
Non capisco i commenti al vetriolo solo perché la famosa attrice indossa un bikini poco tempo dopo aver partorito e mostra un corpo non proprio "perfetto". Che cattiveria! Un sacco di donne farebbero carte false per poter indossare decentemente un bikini