Question

Solve for x: |2x + 6| − 4 = 20

Answer 1

First you need to isolate the absolute value part of the equation. So what would you do?

Answer 2

I don't know. That's why i posted on here.

Answer 3

What do you get if you add 4 to both sides of the equation?

Answer 4

|2x + 6| − 4 = 20
|2x + 6| = 20 + 4
(|2x + 6|)^2= 24^2
2x+6 = + - sqrt(24^2)
2x +6 = + - 24

So
2x +6 = 24
2x = 24 - 6
2x = 22
x = 11

or

2x +6 = - 24
2x =- 24 - 6
2x = -30
x = -30/2
x= -15

Answer 5

they are x = 11 and x = -15

Answer 6

Solve for x: |x| − 8 = −5 what about this one?

Answer 7

i cannot see it clearly, would you mind writing it again ?

Answer 8

x -8 =-5

Answer 9

x -8 =-5

adding both side by 8, then

x -8 + 8 =-5 + 8
x = 3

Answer 10

Thank you, thank you. Do you mind helping me on more?

Answer 11

x=3 is only part of the answer.

Answer 12

In solving absolute values take the equation and solve for both the value given and the value given times negative.....|x| - 8 = -5 to find both values for x you would find x-8= -5 and x-8 = 5.

Answer 13

you are welcome.., go ahead @AnnastasiaElizabeth3 :)

Answer 14

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

Answer 15

@nelsonjedi when i told @AnnastasiaElizabeth3 "i cannot see it clearly, would you mind writing it again ?". She wrote x -8 =-5, not |x| -8 = -5

Answer 16

-3|x+7| = -12
|x+7| = 12/3 = 4
(|x+7|)^2 = 4^2
x+7 = + - sqrt(4^2)
x + 7 = + - 4

so
x + 7 = 4
x = 4-7
x = -3

or

x + 7 = - 4
x = -4 -7
x = -11

so the answer are x = -11 and x = -3

Answer 17

get it @AnnastasiaElizabeth3 ?

Answer 18

no. But I have one more for ya

Answer 19

why no??

Answer 20

he minimum and maximum temperature on a cold day in Lollypop Town can be modeled by the equation below:

2|x − 6| + 14 = 38

What are the minimum and maximum temperatures for this day?

Answer 21

i cannot see it clearly again..,

Answer 22

2 x-6 + 14=38

Answer 23

i think it is 2 |x-6 |+ 14=38, right ?

Answer 24

Yessss.

Answer 25

2 |x-6| + 14 = 38
2|x-6| = 38 - 14
2|x-6| = 24
|x-6| = 24/2
|x-6| = 12

SO

x - 6 = 12
x = 12 + 6
x = 18

OR

x - 6 = -12
x = -12 + 6
x = -6

Answer 26

the are x = 18 and x = -6

Answer 27

THANK YOU SO MUCH!

Answer 28

you are very welcome !!

Answer 29

I have more but I don't want to bother you.

Answer 30

you should bother me more with your quastion, go ahead., :p

Answer 31

Solve for x: 3x - 5 = 2x + 6

Answer 32

sorry for the bother.

Answer 33

3x - 5 = 2x + 6
3x - 2x = 6 + 5
x = 11

Answer 34

nevermind @AnnastasiaElizabeth3 :),

Answer 35

i want to see you photo

Answer 36

Solve for x: 3(x + 1) = -2(x - 1) - 4.

Answer 37

3(x + 1) = -2(x - 1) - 4
3x + 3 = -2x + 2 - 4
3x + 2x = 2 - 4 - 3
5x = -5
x = -1

Answer 38

@AnnastasiaElizabeth3 i've solved that

Answer 39

Solve for x: -3(x + 3) = -3(x + 1) - 5.

Answer 40

i am tired :(

Answer 41

i am getting sleepy right now

Answer 42

i'll solve it next time