## anonymous 5 years ago 8+2/3(2n-9)=10

1. anonymous

Just to be clear, is your equation,$8+\frac{2}{3(2n-9)}=10$?

2. anonymous

or

3. anonymous

$8+\frac{2}{3}(2n-9)=10$?

4. anonymous

Your aim is to isolate the n. What you need to do is 'unwrap' it. Showing you is probably easiest. Subtract 8 from both sides first to get$\frac{2}{3}(2n-9)=2$

5. anonymous

We need to get rid of the fraction next. So multiply both sides by 3$2(2n-9)=6$

6. anonymous

Now we need to divide both sides by 2 to get$2n-9=3$

7. anonymous

Now add 9 to both sides,$2n=12$

8. anonymous

and finally, divide both sides by 2 to get$n=6$

9. anonymous

Happy with that?