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Home » \(\boxed{2 \pm \sqrt6}\)1. **Frage: - wispro

\(\boxed{2 \pm \sqrt6}\)1. **Frage: - wispro

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Solve for \(x\) in the equation \(3x + 5 = 2x + 12\).

📌 Subtract \(2x\) from both sides: \(3x - 2x + 5 = 12\) simplifies to \(x + 5 = 12\).

📌 Subtract 5 from both sides: \(x = 12 - 5\).

📌 Thus, \(x = 7\).

📌 #### \(x = 7\)

📌 A rectangle has a length that is twice its width. If the perimeter is 36 cm, find the dimensions of the rectangle.

📌 The formula for perimeter is \(P = 2(\text{length} + \text{width})\).

📌 Substituting the expression for length, \(36 = 2(2w + w) = 6w\).

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