Question 320933
-5 < 9x + 8 -8x 

Treat it like a regular equation disregarding the inequality sign.

On the right side, combine like terms.  We can combine 9x and -8x because they both share an x.  After that, subtract 8 from both sides.  

-5 < 9x - 8x + 8

-5 < x + 8

-5 - 8 < x

-13 < x

Done!

But, what does the answer mean?

It means that any value you choose for x must be bigger than -13 to make the original inequality question a true statement.

Let me ask you some questions.

Can x be -15?

No, because -15 is smaller than -13.

Can x be -100?

No, because -100 is smaller than -13.

It must be bigger than -13.  Any number to the right of -13, 
(not including -13), on the real number can be used to replace x with.  The question, however, is not asking you to replace x with a number.  The correct answer is -13 < x.  I just wanted to break down the answer a bit more in detail.

Understand?