My thesis: Algebra was invented in many steps over many centuries, with each step helping people who had not been educated in mathematics perform mathematical tasks as part of their work.
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The great Persian mathematician Al-Khwarizmi wrote a book, “The Compendious Book on Calculation by Completion and Balancing” which showed readers a general way of analyzing and solving mathematical problems. In this book Al-Khwarizmi introduced the world to methods for simplifying and solving equations. One of his methods was to force a negative term to become positive by moving it to the other side of the equality. In the cartoon above, the teacher forced the term -4x to become positive by moving it from the left to the right-hand side of the equation. Al-Khwarizmi termed this forcing operation al-ğabr, a word we now mispronounce as algebra.

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