Question

HELP!!!
Solve the equation. Check for extraneous solutions.
|4x+3|=9+2x

x= _________ or _________

Answer 1

x=3

Answer 2

and ummmm

Answer 3

x=4

Answer 4

Is that what i have to put in ans solve for? or is that the answers?

Answer 5

separate it into 2 equations when there is an absolute value
\[4x+3 = \pm (9+2x)\]
solve
4x+3 = 9+2x
and
4x+3 = -(9+2x)

Answer 6

i wrote the answer!

Answer 7

x=4 does not work

Answer 8

How do i start to solve them?

Answer 9

not sure about the 2nd value

Answer 10

just get x by itself by combining like terms
example:
3x-1 = 5
add 1 to both sides to move 1 to right side
divide by 3 to both sides to move 3 to right side

Answer 11

What do i subtract first?

Answer 12

4x+3=9+2x. -3 from both sides?

Answer 13

correct

Answer 14

and that leaves me with 4x=6+2x. What then?

Answer 15

combine the "x" terms

Answer 16

move 2x to left side

Answer 17

So.. 6x=6 divide by 6?

Answer 18

so... 1?

Answer 19

wait...you added , always do the inverse(opposite) operation

Answer 20

How?

Answer 21

4x = 6 +2x --> subtract 2x

4x = 6-2x --> add 2x

Answer 22

same reason you took -3 from both sides earlier ....to cancel the 3 on right side
now take "-2x" to cancel the 2x on right side

Answer 23

2x=6? then x=3?

Answer 24

correct

Answer 25

is the other one x=-6

Answer 26

nope

Answer 27

Well i dont know then. I tried

Answer 28

ok lets see where you messed up

4x+3 = -(9+2x)
distribute
4x+3 = -9 -2x
-3 to both sides
4x = -12 -2x
2x to both sides
6x = -12
divide
x = -2

Answer 29

Oh. i didnt put a negative on 2x. So my answers are x=3? and x=-2?

Answer 30

don't forget to distribute the negative

yes those are the answers

Answer 31

Thank you