## anonymous one year ago PLEASE HELP ME UNDERSTAND Solve for x: 3|x − 3| + 2 = 14 No solutions x = −1, x = 8.3 x = 0, x = 7 x = −1, x = 7

1. anonymous

First step is to get everything but the absolutes alone. So get everything but $$\left| x-3 \right|$$ to the other side.

2. anonymous

so subtract 2?

3. anonymous

One more after that, but yes.

4. anonymous

then divide by 3

5. anonymous

Right! So we'll be left with $\large \left| x-3 \right| = 4$ Now to get the absolutes, you get the negative and positive. So we can split it to look like $\large x-3=4~~~and~~~x-3=-4$ Now solve them :)

6. anonymous

add 3 in both equations, but one equation has no solution right, since the absolute valuse cant be negative?

7. anonymous

No the x will be negative, the absolute will cancel it out though :)

8. anonymous

ohk?

9. anonymous

so x=1 or x=-1

10. anonymous

Well plug those two in and see if they work.

11. anonymous

they dont

12. anonymous

Both, or just one?

13. anonymous

just one

14. anonymous

poitive 1 doesnt work??

15. anonymous

I'll show you what went wrong. $\large x-3=4\to \large x=4+3$

16. anonymous

ohk

17. anonymous

so x=-1 or x=7

18. anonymous

Correct! Good job :)

19. anonymous

thanks! :)

20. anonymous

$\huge \color{aqua}N\color{fuchsia}o \space \color{lime}P \color{orange}r \color{blue}o \color{maroon}b \color{red}l \color{olive}e \color{purple}m \ddot\smile$