Equivalent exchange doesn't work like other magic systems—it's not a rule the characters learn to exploit or circumvent, but a law of the universe itself.
The show's visual language—the geometric circles, the material precision, the accounting of body-for-arm transactions—frames it as mathematics, not metaphor, because this is how the economy works and this is how everything works.
When Edward Elric transmutes his arm to bind Alphonse's soul into armor, he gains something (his brother's life continues) and loses something (his arm). The exchange seems balanced until you realize it isn't—Alphonse lost his entire body, so the ledger was never about fairness; it was about conservation.
The ledger was never about fairness; it was about conservation.
”The Philosopher's Stone exists precisely because equivalent exchange makes normal alchemy impossible for massive transformations. But obtaining the Stone requires human transmutation—the ultimate hidden cost, bodies converted to fuel—and to achieve national transformation (the nation-wide transmutation circle), Amestris must consume its own population because the infrastructure is built on the assumption that someone else pays.
Twenty-first-century Japan watched the bubble collapse, believing growth had seemed to obey different rules. The show aired in 2005, during Japan's Lost Decade, and proposed something darker than pessimism: that the math was never broken, and gain and loss were always equivalent, so someone was always going to absorb what the system wouldn't acknowledge.
Rewatch Episodes 51-52 (the Elrics' final transmutation attempt) with the sound off and focus only on the geometric transmutation circles and architectural design—see how the show's visual style transforms when it stops hiding the equation's human denominator.
Seek out 'The Alchemist's Engine: Fullmetal Alchemist and Japan's Lost Decade' by Masaru Tsuchiya in Mechademia Vol. 7—it directly connects the show's production timeline to Koizumi-era economic policy and structural reform mythology.