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? a. -4 b. -2 c. -1d. 1

Answer 1

Let x represent the number.

the difference of a number and 6. This would be expressed as

x - 6

5 times the sum of the number and 2. This would be expressed as

5(x + 2)

Since both expressions are the same, it means that

x - 6 = 5(x + 2)

We would open the bracket on the right hand side by multiplying each term inside the bracket by the term outside the bracket. It becomes

x - 6 = 5x + 10

5x - x = - 6 - 10

4x = - 16

x = - 16/4

x = - 4

The correct option is A