An online video game site charges a $10 membership fee and a $6 monthly cost. Another game site charges $6 membership and a $8 monthly cost.

SO ... whats the actual question?

It'll take 2 months for the sites to be of the same price

Step-by-step explanation:

For the first site, the equation would be

6x+10 (where x is the number of months)

And for the second site

8x+6 (where x is the number of months)

Set both equations to equal each other if you are trying to find when they'll be of the same price

6x+10=8x+6

Subtract ten from both sides (step one of isolating the x)

6x=8x-4

Then, subtract both sides by 8 (to remove the x on the other side of the equation)

-2x=-4

Now, divide both sides by - 2 (to isolate the x on the left)

And you get

x = 2

So, in two months, the price will be the same for both sites (you can plug the 2 in for the x's if you so wish to double check)

Sorry if this is the wrong answer, I'm not too sure what you're trying to ask here ...