Rahul was asked to solve the equation

MATHEMATICS · Multi-part · AoPS · Mathematics · One-Variable Linear Equations · One-Variable Linear Equations

Problem

Rahul was asked to solve the equation x−4=11x - 4 = 11. He wrote the answer x=−15x = -15. (i) Identify and explain the conceptual error in Rahul’s working. (ii) Determine the correct value of xx. (iii) Verify your answer by substituting it back into the original equation.

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