The phrase "on one's own" is commonly used to refer to doing something independently, without the help of others. However, there are many synonyms for this phrase that can be used to convey the same meaning. Some examples include "alone," "solo," "unassisted," "single-handedly," "independently," "on your own two feet," "autonomously," and "self-reliantly." Each of these synonyms carries a slightly different connotation, but all imply a sense of self-sufficiency and resourcefulness. Whether you're describing someone who is tackling a task independently or asserting their independence in a social situation, these synonyms can help you find the right words to express your meaning.