Question

I-4XI=32

Answer 1

"Welcome to OpenStudy. I can answer your questions or guide you. Please use the chat for off topic questions. And remember to give the helper a medal, by clicking on "Best Answer". We follow a code of conduct, ( http://openstudy.com/code-of-conduct ). Please take a moment to read it."

Answer 2

|a| = a
|-a| = a

so |-4x| = 32 is nothing but 4x = 32

Answer 3

\[\left| x \right|=x if x>0, \left| x \right|=-x ,if x<0\]
solve taking both cases.

Answer 4

consider x=-4X
from the constraints provided
|x| = x if x is positive
|x| = -x if x is negative

since x is negative in our case we follow the second case
so |x| = -x
which implies |-4X| = - (-4X) = 4X

consequently we obtain the equation 4X = 32
upon multiplying both sides by 1/4
we obtain the result X=32/4
or X=8

Answer 5

\[\left| x \right|=a,x=\pm a\]
\[\left| -4x \right|=32,-4x=\pm 32,x=\pm 8\]