Solve for x: |2x + 6| − 4 = 20

x = 9 and x = 11

x = −9 and x = 15

x = 9 and x = −15

No solution

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

hartnn · Answer

add 4 on both sides first

anonymous · Answer

Okay

2x + 8 = 20 ?

hartnn · Answer

not like that

|2x+6| -4+4 = 20+4

|2x+6| = 24
got that ?

anonymous · Answer

Oh okay! that makes more sense sooo, 2x +6 = 24 ?

hartnn · Answer

since we have absolute sign, we would have both

2x+6 = 24    or   2x+6 = -24

can you solve both of these to get 2 values of x ??
subtract 6 from both sides,....

anonymous · Answer

I don't get it....

hartnn · Answer

2x+6 =24
can you find x from here ?

anonymous · Answer

i mean 2x = 24

hartnn · Answer

2x+6 = 24

2x = 24-6 = 18

2x=18
x=9 :)

now find x from
2x+6 = -24

anonymous · Answer

Well I put -15 times two plus six and got -24 ? does that work or is there no solution ?

hartnn · Answer

2x+6 = -24

2x = -30
x=-15 works!
so its, 9,-15

anonymous · Answer

yay its starting to make sense!

hartnn · Answer

glad to hear that! :)