A prop assistant needs to rent a telescope to use for a scene in a movie. One company charges $57 per day plus a flat fee of $32
to rent a telescope. Another company charged $62 per day with no flat fee. For how many days would the total cost of renting a telescope be the same at both companies? Justify your answer by writing and solving an equation. Fill in the blanks with the correct answers.
62x = 58x + 32, when x = ____. The total cost of renting a telescope would be the same at both companies for _____ day(s).