## anonymous one year ago 9|9-8x|=2x+3 Please explain the steps to completing. I will medal and fan!

1. anonymous

@satellite73

2. anonymous

you have to solve two equations i think

3. anonymous

for $$x>\frac{9}{8}$$ this is the same as $9(9-8x)=2x+3$

4. anonymous

oh maybe i just screwed that up lets make it easiery

5. anonymous

$|9-8x|=|8x-9|$ so we can start with $9|8x-9|=2x+3$

6. anonymous

now if $$x>\frac{9}{8}$$ that is the same as $9(8x-9)=2x+3$ which i guess you can solve

7. anonymous

it is ugly, but you should get $$x=\frac{6}{5}$$ i think

8. anonymous

I'm still confused

9. anonymous

lets back up and go slow

10. anonymous

is this line $|9-8x|=|8x-9|$ clear?

11. anonymous

yes

12. anonymous

ok now $$|8x-9|$$ is one of two things if $$x> \frac{9}{8}$$ then $$8x-9>0$$ and if $$8x-9>0$$ then $$|8x-9|=8x-9$$ because it is positive

13. anonymous

clear or not ?

14. anonymous

clear

15. anonymous

so if $$x>\frac{9}{8}$$ you can go ahead and solve $9(8x-9)=2x+3$

16. anonymous

that takes a bit of algebra, but i assume it is doable

17. anonymous

if not, let me know

18. anonymous

I don't know how to solve it @satellite73

19. anonymous

multiply out and get $72x-81=2x+3$

20. anonymous

Do i combine like terms now?

21. anonymous

subtract $$2x$$ get $70x-81=3$ then add $$81$$ to get $70x=84$ and finally divide by $$70$$ to get $x=\frac{84}{70}=\frac{6}{5}$

22. anonymous

ooooooohhhhh ok thank you so much again!!!!