Question

Solve for x: |2x + 6| − 4 = 20

Please help!

Answer 1

\(\Large\color{blue}{ \sf |2x + 6| − 4 = 20 }\) add 4 to both sides

\(\Large\color{blue}{ \sf |2x + 6| = 16 }\) now you have 2 equations,

\(\Large\color{red}{ \sf 2x + 6 =16 }\) and \(\Large\color{red}{ \sf 2x + 6 =-16 }\)

can yu solve each of the red equations for x, show your steps and the answer please.

Answer 2

2x+6=16
-6 -6
2x=10

divide both sides by two

i got X=5

2x+6=-16
-6 -6
2x= -22

divide by two

x= -11

Answer 3

The answer options are
x = 9 and x = 11

x = −9 and x = 15

x = 9 and x = −15

No solution

I don't know how they got it

Answer 4

OHH, SORRY !

Answer 5

I didn't add 4 to each side correctly.

@NatPanda see what Luigi posted? try to apply this formula to your example. I'll start you of.

\(\Huge\color{blue}{ \sf |2x + 6| − 4 = 20 }\)

\(\Huge\color{blue}{ \sf |2x + 6| = 24 }\) (24 !! not 16)


\(\Large\color{green}{ \sf 2x + 6 = 24 }\) and \(\Large\color{green}{ \sf 2x + 6 =24 }\)

Answer 6

The second green equation is -24

Answer 7

2x+6=24
-6 -6
2x=8

x=9

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

Answer 8

Thank you!

Answer 9

Hold on

Answer 10

you had 1 mistake here

\(\Large\color{green}{ \sf 2x + 6 = 24 }\)
\(\Large\color{green}{ \sf 2x = }\)\(\Large\color{red}{ \sf 18}\)

second one, x=-15 is correct.

Answer 11

i got 18 i accidentally forgot to type the one

Answer 12

Oh, I see, but the answers are all correct. Good work !

Answer 13

Thank you!

Answer 14

My pleasure !