how to move search form from left to right

I don’t know much about css but try using:

p
{
text-align: right
}

To wrap the whole search bar in.

BTW. the tag thingy you got, what’s that and how do you get it?

I’m using MightySearch to integrate Google Search. It makes the search form appear on the left side above the blog title but I want it on the right on the same height as blog title.

You can try the below ↓ code, add inside your theme css (Admin > Design > Theme editor > Style.css )

#cse-search-box{
    width: 272px;
    margin-left: auto
}