Solve for x: -3|x + 7| = -12

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Solve for x: -3|x + 7| = -12

Mathematics
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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.

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Those lines just mean that the x+7 is positive so just think of it as parentheses. Distribute the -3 in (x+7).
You should get -3x-21.
-3x-21=-12

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Now try to solve this.
It should be easier.
x-18=-12
right???
Ya.
x=6
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.
Absolute values will always be positive and negative when it comes to equations.
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
So now it should look like this(-3){-(x+7)}=-12
then both by -11
-3(-x-7)=-12 3x+21=-12 3x=-21-12 3x=-33 x=-11
Yes that's the second answer.
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
thxs i got my answers you guys are the best
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
And you're welcome!
yes it is in order for x=c to be a solution it must satisfy the equation
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the first equation was just solved incorrectly
When you plug in the 1st x of the equation from the picture. It doesn't equal 7. The second x does though.
-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}
@200205650 you have to plug into the original equation
Okay then never mind. You are right.

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