Reference ( אֹ֣הֶל, BDB, 1977 ed., p.14): וַתֵּ֕כֶל כָּל־עֲבֹדַ֕ת מִשְׁכַּ֖ן אֹ֣הֶל מוֹעֵ֑ד , (Ex 39:32, BHSa). Ex 39:32; 40:2, 6, 29, cf. 1 Ch 6:17 (BDB) all have the same structure, and BDB references these verses as distinguishing מִשְׁכַּ֖ן and אֹ֣הֶל מוֹעֵ֑ד. Translations such as ESV make these two terms synonymous: "Thus all the work of the tabernacle of the tent of meeting was finished" (Ex 39:32a). Are the English translations missing something in Hebrew?
Looking at the English translations, מִשְׁכַּ֖ן appears to be construct, meaning מִשְׁכַּ֖ן is a part of the אֹ֣הֶל מוֹעֵ֑ד. However HCSV translates making these terms synonymous: So all the work for the tabernacle, the tent of meeting, was finished. (Ex. 39:32, HCSV)
מִשְׁכַּ֖ן -- translated tabernacle and אֹ֣הֶל מוֹעֵ֑ד -- translated tent of meeting
(Ex 25:9 RVm; [מִשְׁכַּ֖ן] rendered conventionally ‘tabernacle’), of planks lined with vari-coloured tapestry, with a ‘tent’ (אֹהֶל) over it, filled with כְּבוֹד י׳ . Brown, F., Driver, S. R., & Briggs, C. A. (1977). Enhanced Brown-Driver-Briggs Hebrew and English Lexicon (p. 1015). Oxford: Clarendon Press.
Above is a chart using Logos Bible Software showing a Greek word the LXX uses to translate both Hebrew terms. The LXX combines both terms as τὴν σκηνὴν τοῦ μαρτυρίου or τὴν σκηνὴν in these passages.
Below is a Jewish translation:
Thus was completed all the work of the Tabernacle of the Tent of Meeting.... Jewish Publication Society. (1985). Tanakh: The Holy Scriptures (Ex 39:32). Philadelphia: Jewish Publication Society.
Nahum M. Sarna in the JPS commentary sees the two terms as expressing two distinct functions of one physical sanctuary. Perhaps this is the best explanation. It appears to resolve seemingly conflicting usages.
[Ex. 39:]32. the Tabernacle of the Tent of Meeting A combination of the two distinct terms for the sanctuary. Together they express its dual function as the symbol of the indwelling of the Divine Presence in the camp of Israel and as the site of communication between God and Moses.4 -- Sarna, N. M. (1991). Exodus (pp. 233–234). Philadelphia: Jewish Publication Society.