I would like some help on Absolute value equations. Rewards to helpers. I have some example problems here. Thanks! :)

Question

anonymous · Answer

Solve for x: −3|x + 7| = −12

youngstudier · Answer

Okay, so what do you think would be the first step?

anonymous · Answer

Wouldn't we have to find possible solutions?

youngstudier · Answer

I don't think so.... But we both do different schooling programs.... I'm not entirely sure what your program would say to do for this type of question. Do you know if there are answer choices for the problems or no?

anonymous · Answer

Yes, there are. One second. Let me pull them up.

anonymous · Answer

x = 5 over 3, x = −19 over 3

 x = −3, x = −11

 x = −3, x = 11

 No solution

youngstudier · Answer

@campbell_st

anonymous · Answer

@amistre64

campbell_st · Answer

the 1st step to solving this is to divide both sides of the equation by -3

this results in 

$$\left| x + 7 \right| = 4$$

when you have the equation to this point, you need to know there will be 2 solutions to this problem 

the can be found by using

x + 7 = 4                  and x + 7 = -4


now just solve for x

anonymous · Answer

Okay, thanks. I'll open up more in a second.