Question

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

Answer 1

Answer:

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