Question

Solve for x: −4|x + 5| = −16

Answer 1

@Mehek14

Answer 2

First we have to get rid of the -4

Divide both sides by -4

Answer 3

so i ended up with x=17 and x=7 but thats not an answer choice

Answer 4

wait
wouldn't you just add 4?

Answer 5

Nope

Answer 6

ok thats where i messed up

Answer 7

-4 is being multiplied to |x+5| so you have to divide in order to move it to the other side

Answer 8

ok now I'm at |x-5|=-4

Answer 9

is that right so far

Answer 10

It should be |x+5| = 4

-16/-4 = 4

Answer 11

ok

Answer 12

So now we need to equations first one being

x + 5 = 4 and the second one x + 5 = -4

Answer 13

Solve for x in both

Answer 14

ok

Answer 15

so do i start by subtracting each side by 5

Answer 16

because this doesn't seem quite right

Answer 17

Mehek?

Answer 18

It is right

Answer 19

Since it's being added on one side, you subtract so you can move it to the other

Answer 20

what i don't understand what you mean

Answer 21

Alright so you see how it is x + 5?

Answer 22

We want to get x by itself so you subtract -5 on both sides

Answer 23

This way we eliminate the +5

x + 5 = 4

x + 5 - 5 = 4 - 5

x = 4 - 5

Answer 24

so x is equal to -9 and -1?

Answer 25

Yep

Answer 26

thanks so much!

Answer 27

Plug them into the original equation to see if they're solutions

Answer 28

No problem (: