Other forms: equalized; equalizing; equalizes
To equalize is to make sure something is shared evenly or uniformly. You might try to equalize how much cake each party guest gets by slicing it into identical pieces.
When you equalize, you're attempting to make things equal, a word with a Latin root that means "even, fair, or equitable." This can be done on a small scale, like when parents feel they have to buy an additional gift for one of their children in order to equalize everyone's Christmas presents. It's also done on a larger scale, with whole industries pushed to equalize pay for workers or cities to equalize educational opportunities for kids.