Five times the sum of some mumber plus 3 is equal to 8 times the number minus 9

a.) - 8

b.) 8

c.) - 24

d.) 24

Let's represent the unknown number with Y

So it says 5 times the sum of Y plus 3 equals 8 times Y minus 9

That is represented as;

5 (Y+3) = 8Y-9

First of all, multiply 5 by what is in the bracket. That will be 5Y+15

(5 times Y is 5Y and 5 times 3 is 15)

Therefore;

5Y+15=8Y-9

Collect like terms. So - 9 will go over the equality sign to become + 9. The same applies to 5Y

15+9=8Y-5Y

24=3Y

Divide both sides by 3

24 divided by 3 is 8. So Y = 8

The number is 8 which is B