Word order is quite flexible in Hungarian. Usually, we say those parts of the sentence first, that we want to emphasize. So, both "beszélek magyarul" / "magyarul beszélek" and "tanulok magyarul" / "magyarul tanulok" is correct grammatically. For example: - Magyarul tanulsz? - Igen, magyarul tanulok. ("Yes, I learn Hungarian" [and not another language]) In this case, the emphasis is on the language itself. vs. - Tanulsz magyarul? - Igen, tanulok magyarul. ("Yes, I (DO) learn Hungarian.") In this case, the emphasis is on the process of studying.