Question

What is the solution set for |-4x - 4| - 28 = -4?

a. x = -7 and x = 5
b. x = -7 and x = -5
c. x = 7 and x = 5
d. x = 7 and x = -5

Answer 1

\(\large\color{black}{ \left| -4x-4\right| -28=-4 }\)
you are allowed to factor 4 out of the absolute value (but don't factor -4,
because \(\large\color{red}{ \left| -a\right|~ \ne ~-~\left| a\right| }\) )

\(\large\color{black}{ 4\left| -x-1\right| -28=-4 }\)
divide everything in the equation by 4,
\(\large\color{black}{ \left| -x-1\right| -7=-1 }\)
add 7 to both sides
\(\large\color{black}{ \left| -x-1\right| -7\color{blue}{+7}=-1\color{blue}{+7} }\)

Answer 2

can you take it from here, or need more help?

Answer 3

I think I got it thanks :)

Answer 4

when you are done, just tell me the answer you get, to make sure you have it correctly, okay?

Answer 5

ok

Answer 6

I need more help sorry.

Answer 7

I did this

\[|-x-1|=6 \]

Would it then just be:

x=5
or
x=7?

idrk

Answer 8

Look, this is what you are supposed to do,
\(\large\color{black}{ \left| -x-1=6 \right| }\)
Gives that, \(\large\color{black}{ -x-1=6 }\) or \(\large\color{black}{ -x-1=-6 }\)
\(\large\color{black}{ -x-1\color{red}{+1}=6 \color{red}{+1}}\) \(\large\color{black}{ -x-1\color{red}{+1}=-6 \color{red}{+1}}\)
\(\large\color{black}{ -x=5}\) \(\large\color{black}{ -x=-5}\)

Answer 9

and the last steps you already know.

Answer 10

oh ok Thank You for the help!

Answer 11

anytime:)