Question

1. The difference of a number and 3 equals 5
added to twice the number. Find the number.

Answer 1

-8

Explanation:

Let n represent the number. Then we have ...

n -3 . . . . the difference of a number and 3

= . . . . . . equals

5 +2n . . . 5 added to twice the number

Adding -n-5 to both sides of the equation gives ...

n -3 -n -5 = 5 +2n -n -5

-8 = n . . . . . simplify

The number is -8.