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31 August, 08:50

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

A.

-4

B.

-2

C.

-1

D.

1

+2
Answers (1)
  1. 31 August, 09:41
    0
    A

    Step-by-step explanation:

    let the number be x, then

    the difference of x and 6 is x - 6 and

    5 times the sum of x and 2 is 5 (x + 2)

    Equate both expressions

    5 (x + 2) = x - 6 ← distribute left side

    5x + 10 = x - 6 (subtract x from both sides)

    4x + 10 = - 6 (subtract 10 from both sides)

    4x = - 16 (divide both sides by 4)

    x = - 4 → A
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