## anonymous one year ago Below are the steps to solve an equation step 1: |x-2| +3=7 step 2: |x-2|=7-3 step 3: |x-2|=4 which of the following is correct step to solve the equation?

1. anonymous

x – 4 = –7

2. Study_together

I think it's step 2.

3. anonymous

i agree

4. anonymous

x+2=4 -x-2=4 x+2=4 x-2=-4

5. anonymous

i need to find the correct step after

6. zepdrix

For absolute value, we can drop the absolute bars by throwing a plus/minus symbol in front of the stuff.$\large\rm |\color{royalblue}{stuff}|=4$$\large\rm \pm\color{royalblue}{stuff}=4$Let's write the plus/minus on the other side though, that will make things easier.$\large\rm \color{royalblue}{stuff}=\pm 4$

7. zepdrix

So notice that we actually have two equations now. One for the plus case, and another for the negative.$\large\rm \color{royalblue}{stuff}=4$$\large\rm \color{royalblue}{stuff}= -4$

8. anonymous

yeah is step 2

9. zepdrix

And for our problem, the stuff is simply x-2.

10. zepdrix

i guess everyone else got confused by the question lol

11. anonymous

ahh sorry

12. zepdrix

Do you understand what I did with the absolute there? :O Your stuff is x-2. So you're looking for an option that matches one of these,$\large\rm \color{royalblue}{x-2}=4$$\large\rm \color{royalblue}{x-2}=-4$

13. anonymous

so its x-2=-4 would be the next step to solve the equation

14. zepdrix

Option 4? Yay good job \c:/

15. anonymous

Thank you so much! algebra is kicking my butt this summer