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Translate the statement into an equation. Let xx represent the number. 3737 is 77 less than double a number. The given statement can be represented mathematically as 37=2x737 = 2x - 7 (Do not simplify.)

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Q. Translate the statement into an equation. Let xx represent the number. 3737 is 77 less than double a number. The given statement can be represented mathematically as 37=2x737 = 2x - 7 (Do not simplify.)
  1. Define variable x: Let's define the variable x to represent the unknown number. The statement "3737 is 77 less than double a number" suggests that if we take double the number (which is 22 times xx) and subtract 77 from it, we should get 3737. We can write this relationship as an equation.\newlineCalculation: 2x7=372x - 7 = 37
  2. Write equation: Now, let's check the equation for any mathematical errors by plugging in a value for xx that would make the equation true. If we let x=22x = 22, then the left side of the equation would be 2(22)72(22) - 7, which equals 44744 - 7, and that equals 3737, which is the same as the right side of the equation. This check is just to ensure that our equation is set up correctly.\newlineCalculation: 2(22)7=447=372(22) - 7 = 44 - 7 = 37

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