When we think of the phrase "hadst to go", some common synonyms that come to mind include having to leave, needing to depart, being required to go, and having no choice but to exit. Other options might include being forced to depart, having a mandate to go, being obligated to leave, or simply having to go due to circumstances beyond one's control. No matter what term you use, the meaning remains the same: a person must leave a particular location or situation for some reason. These synonyms can be helpful when trying to vary your language or express a particular nuance in meaning.