anonymous
  • anonymous
Solve for x: -3|x + 7| = -12
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Those lines just mean that the x+7 is positive so just think of it as parentheses. Distribute the -3 in (x+7).
anonymous
  • anonymous
You should get -3x-21.
anonymous
  • anonymous
-3x-21=-12

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
Now try to solve this.
anonymous
  • anonymous
It should be easier.
anonymous
  • anonymous
x-18=-12
anonymous
  • anonymous
right???
anonymous
  • anonymous
Ya.
anonymous
  • anonymous
x=6
anonymous
  • anonymous
Then the answer would be x=6. But you aren't done there. When I told you that the absolute value is like parentheses, I was trying to not confuse you by saying that now you have to put a negative in front of the parentheses.
anonymous
  • anonymous
Absolute values will always be positive and negative when it comes to equations.
freckles
  • freckles
you should get two answers first divide both sides by -3 |x+7|=4 you have to solve both equations below: x+7=4 or x+7=-4
anonymous
  • anonymous
So now it should look like this(-3){-(x+7)}=-12
anonymous
  • anonymous
then both by -11
anonymous
  • anonymous
-3(-x-7)=-12 3x+21=-12 3x=-21-12 3x=-33 x=-11
anonymous
  • anonymous
Yes that's the second answer.
freckles
  • freckles
x=6 gives a false equation -3|6+7|=-12 doesn't hold -3|13|=-12 -3(13)=-12 -39=-12 see this isn't the same thing on both sides so x=6 isn't a correct solution
anonymous
  • anonymous
thxs i got my answers you guys are the best
anonymous
  • anonymous
I don't think it's suppose to equal back to the problem @freckles. Look at this link. http://www.purplemath.com/modules/solveabs.htm
anonymous
  • anonymous
And you're welcome!
freckles
  • freckles
yes it is in order for x=c to be a solution it must satisfy the equation
anonymous
  • anonymous
1 Attachment
freckles
  • freckles
the first equation was just solved incorrectly
anonymous
  • anonymous
When you plug in the 1st x of the equation from the picture. It doesn't equal 7. The second x does though.
freckles
  • freckles
-3(x+7)=-12 -3x-21=-12 add 21 on both sides -3x=-12+21 -3x=21-12 -3x=9 divide by -3 on both sides x=-3 as you see pluggin x=-3 into original this does satisfy initial equation -3|x+7|=-12 replace x with -3 -3|-3+7|=-12 -3|4|=-12 -3(4)=-12 -12=-12 this is a true equation so x=-3 is a solution just like x=-11 is also a solution since -3|x+7|=-12 pluggin in -11 for x -3|-11+7|=-12 -3|-4|=-12 -3(4)=-12 -12=-12 same thing on both sides the equation is true x=-11 is also a solution so the solution set is {-3,-11}
freckles
  • freckles
@200205650 you have to plug into the original equation
anonymous
  • anonymous
Okay then never mind. You are right.

Looking for something else?

Not the answer you are looking for? Search for more explanations.