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

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