If 9 less than 4 times a certain number is the same as twenty- three more than twice the same number. Find the number.

Question

If 9 less than 4 times a certain number is the same as twenty- three more than twice the same number. Find the number.

Answer 1

The key here is just to take a little bit of the sentence at a time and deal with that section... So let's get started!

If 9 less than, (-9), 4 times a certain number (4x) is the same (=) as twenty- three more than (+23) twice the same number (2x). Find the number.

1. Put it together, note that less than/subtractions/reductions come after the next thing
2. 4x - 9 = 23+2x combine like terms and solve for x; - 2x from both sides, + 9 to both sides
3. 2x = 32 to isolate the x, divide both sides by 2
4. x = 16

Answer 2

4n - 9 = 2n - 23

Can you solve for n and answer?

Answer 3

4n - 9 = 2n + 23

2n - 9= 23

2n = 32

n = 16