Arguments arise from disagreements and misunderstanding. Everyone is entitled to their opinion. However, opinions are framed and limited by the individuals knowledge. When you are able to impact more knowledge into people, exchange ideas, you'll find out that you sway others, get swayed or find a common ground.
In most cases, the two parties can have vast strong contrasting opinions of certain topics. Neither backs down and the argument ends by agreeing to disagree .
I can say that I've been swayed into the believe That eating meat is not only harming yourself and the animals but harmful to the environment as well. I did not share this opinion initially because I believed meat is merely food. However, after I learned about the long term damaging effects It has on earth, I succumbed. Although I still haven't given up eating meat completely.