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Twice the sum of a number and 2 is equal to three times the difference of the number and 2

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Answer:

  • 10

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Let the number be n.

Set up an equation per the problem:

  • 2(n + 2) = 3(n - 2)

Distribute and solve for n:

  • 2n + 4 = 3n - 6
  • 3n - 2n = 4 + 6
  • n = 10

The number is 10.

User BillT
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