Question

Solve for x: |2x + 6| − 4 = 20

x = 9 and x = 11
x = −9 and x = 15
x = 9 and x = −15
No solution

Answer 1

|2x + 6| − 4 = 20

Begin by adding 4 to both sides of the equation.
Do not mess with the absolute value quantity just yet.

Answer 2

ok so now it [2x+6]=24

Answer 3

Good.

Answer 4

now what do i do

Answer 5

By definition of an absolute value equality,

[2x+6] = 24

means 2x + 6 = 24 OR 2x + 6 = -24

So, solve each of those linear equations for x.

Answer 6

oh ok thanks lol :)

Answer 7

Go ahead and post the answers you get and we'll check each other.

Answer 8

@Madisons_xo_beauty

Answer 9

ok one minute

Answer 10

i got c

Answer 11

Take your time.

Fast is fine but accuracy is everything. ~Wyatt Earp

Answer 12

I got 9 and - 15. Is that c?

Answer 13

I think it is.

Answer 14

lol yes

Answer 15

thankyou! @Directrix

Answer 16

You are welcome. Thanks for being an active participant in this problem.

Answer 17

no problem