The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the num

Discussion in 'Calculator Requests' started by math_celebrity, Oct 29, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number?

    We have two expressions:

    Expression 1: The difference of a number and 6
    The phrase a number means an arbitrary variable, let's call it x.
    The difference of a number and 6 means we subtract 6 from x:
    x - 6

    Expression 2: 5 times the sum of the number and 2
    The phrase a number means an arbitrary variable, let's call it x.
    The sum of a number and 2 means we add 2 to x:
    x + 2
    5 times the sum means we multiply x + 2 by 5
    5(x + 2)

    For the last step, we evaluate the expression is the same as
    This means equal to, so we set x - 6 equal to 5(x + 2)
    x - 6 = 5(x + 2)
     

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