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Here is the problem: Twice a number decreased by 3 is 11. Find the number.

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Let x be the number: “2 times a number decreased by 3” becomes (2) times x minus 3.

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Read the problem. Let x be the unknown number. “2 times a number decreased by 3 is 11” translates to (2) times x minus 3 equals 11.

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Solve the linear equation. 2x minus 3 equals 11 → x equals (11 plus 3) / 2 equals 7.

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So the answer is The number is 7.

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Let x be the number: “2 times a number decreased by 3” becomes (2) times x minus 3.

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Substitute x equals 7: (2) times (7) minus 3 equals 11, which checks out.