A plane was originally flying at an altitude of \(x\) feet when it ascended 2,000 feet and then descended 5,000 feet. If

A plane was originally flying at an altitude of \(x\) feet when it ascended 2,000 feet and then descended 5,000 feet. If the plane's altitude after these two changes was 1/3 its original altitude, then the solution of which of the following equations gives the plane's original altitude, in feet?

(A) \(x + 2000 = \dfrac13(x - 3000)\)
(B) \(\dfrac13(x - 3000) = x\)
(C) \(x + 3000 = \dfrac13 x\)
(D) \(x - 7000 = \dfrac13 x\)
(E) \(x - 3000 = \dfrac13 x\)

[spoiler]OA=E[/spoiler]

Source: Princeton Review