Answer to Question #240292 in Algebra for Ron

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

Let the number be x

The difference of a number and 6 ===> x-6

5 times the sum of the number and 2 ===>5(x+2)

We then have;

x-6=5(x+2)

x-6=5x+10

x-5x=10+6

-4x=16

x=-4

The number is -4