For this problem, 5/x=9/x+8, I came up with 10. Is this the correct answer?

That depends upon whether it's (9/x) + 8 or (9+8)/x or 9/(x+8).

It is 9/(x+8). The problem reads 5 over x equals 9 over x plus eight.

Yes. The answer is 10.

Thanks a lot!!!

You're welcome.

To solve the equation 5/x = 9/x + 8, you need to isolate the variable x.

First, let's cross multiply to eliminate the fractions:

5/x = 9/x + 8
5(x + 8) = 9(x)
5x + 40 = 9x

Next, rearrange the equation to collect all the x terms on one side:

5x - 9x = -40
-4x = -40

To solve for x, divide both sides of the equation by -4:

-4x / -4 = -40 / -4
x = 10

So, the correct answer is x = 10. Therefore, your answer is correct.