There are two terms designating “equal” in cuneiform texts from Ḫattuša-Boğazköy, namely annauli- and ānt-. The lexeme ānt- has been connected with the Luwian terms ayawala- and ayal(a/i)-. The first one is a hapax in Hittite cuneiform corpus found in the so-called Tawagalawa letter (CTH 181), while the second one appears several times in the royal hieroglyphic inscriptions from Masuwari (Tell Ahmar). Although the meanings and etymologies of all these terms were discussed in recent scholarship, they have never been analyzed as part of a lexical system. The present article focuses on the contextual study of these terms. The author comes to the conclusion that Hitt. annauli- is to be interpreted as “of equal status”, while Hitt. ānt- means “equal by appointment”. Thus, the lexeme annauli- describes the balance of powers in the Ancient Near East of the 2nd millennium BCE, when all the Great Kings were supposed to be equal to each other. The term ānt- designates a substitute, who becomes equal to the ritual patron in the course of the ritual, while the term annauli- is mentioned in texts as the antonym of the ritual substitute. The Luwian terms ayawala- and ayal(a/i)- are ultimately derived from the Luwian verbal stem aya- “to do”, while Hitt. ānt- is possibly cognate with Latin aequus “equal”. The term ayal(a/i)- is a title linked to the performance of certain duties by the heir apparent, and ayawala- is connected with the ability of a prince or high official to act as king’s deputy.