A fact is a truth. A possible truth can lack the support of facts. The opposite of a truth is not a lie, but falsity. Lies are intentional falsehoods, untruths. A person can honestly spread falsity without lying.
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Truth: That which is true or in accordance with fact or reality.
An opinionated truth is an empirical understanding of ones own perception or a rational understanding of ones knowledge not a fact. A truth-fact is the evidence with multiple empirical test that brings up a fact of agreeing belief to then becoming a public rational thought. Can we agree on this? For example
Truth is personal as facts are empirical agreements.
Faith is not a fact but a belief.
Personal truth can have lack of information as in facts are researched and studied.