What is the rule for changing 'invite' into reported speech?

What is the rule for changing 'invite' into reported speech?

The rule for changing 'invite' into reported speech is to use the verb 'ask' or 'invite' in the reporting clause, followed by the indirect object pronoun and the infinitive form of the verb. For example, "He invited me to the party" would be reported as "He asked me to go to the party."