Question

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

Answer 1

one more

Answer 2

And just one more

Answer 3

The value of mod(x+7) depends upon the value of x.
When the value of x is less then -7, |x+7| becomes -(x+7)
otherwise , it's (x+7) itself.
we can define it as a function:
\[f(x)= \left(\begin{matrix} -(x+7),x<-7\\ (x+7),x \ge -7\end{matrix}\right)\]
so we can solve it as:
\[-3|x+7|=-12\]
\[|x+7|=3\]

Case1:
when -(x+7)=3,x<-7
-x-7=3
x=-10
Case 2:
when x+7=3,x>=-7
x+7=3
x=-4

Answer 4

but... these are the answer choices-

x = -3, x = -11
x = , x = -
x = -3, x = 11
No solution

Answer 5

what;s 2nd option?

Answer 6

oh sry it is x=5/3 x= -19/3

Answer 7

sorry, i've got a mistake
-3|x+7|=-12
|x+7|=4 instead of |x+7|=3
Case1:
-(x+7)=4
-x-7=4
x=-11
Case2:
(x+7)=4
x=-3


so, the answer is x=-3 ,x=-11

Answer 8

ok thank you

Answer 9

you're welcome..:)
try similar approach for attachment 1.