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Home » Solve for \(x\) in the equation \(3x + 5 = 2x + 15\). - AMAZONAWS

Solve for \(x\) in the equation \(3x + 5 = 2x + 15\). - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 \(a^2 = 1\), \(b^2 = 24\) is not possible

📌 \(a^2 = 4\), \(b^2 = 21\) is not possible

📌 \(a^2 = 9\), \(b^2 = 16\) gives \((a, b) = (\pm 3, \pm 4)\)

📌 \(a^2 = 16\), \(b^2 = 9\) gives \((a, b) = (\pm 4, \pm 3)\)

📌 \(a^2 = 25\), \(b^2 = 0\) gives \((a, b) = (\pm 5, 0)\)

📌 Counting all combinations for \((a, b)\):

📌 \((0, \pm 5)\) gives 2 points: \((3, 9), (3, -1)\)

📌 \((\pm 4, \pm 3)\) gives 8 points: \((7, 7), (7, 1), (-1, 7), (-1, 1), (7, -2), (7, -5), (-1, -2), (-1, -5)\)

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