Question

Solve the equation. Check for extraneous solutions.
6|6-4x|=8x+4

Answer 1

Are you there, @mrivera3113?

Answer 2

Yes I have no idea how to this question I have been stuck on it for 3 days now. @OakTree

Answer 3

Okay. So we want to start by dividing by 6. What would you get?

Answer 4

@mrivera3113? Do you know?

Answer 5

what do I divide 6 to?

Answer 6

Both sides of the equation.

Answer 7

I got |6-4x|=8x+.6666

Answer 8

Not quite. It should be\[\left| 6-4x \right| = \frac{ 4 }{ 3 }x + \frac{ 2 }{ 3 }\]Do you see why?

Answer 9

Should I give you the answers? Or do you want the explanation?

Answer 10

Explanation

Answer 11

Okay. So now that you have the equation above you would write\[6-4x = \frac{ 4 }{ 3 }x + \frac{2}{3}, 6-4x = -\frac{4}{3}x - \frac{2}{3}\]And solve both of those. Do you see why?

Answer 12

Yes

Answer 13

Great. So can you solve now?

Answer 14

Working it out right now.

Answer 15

Great. Get back to me when you have the answers - I'll tell you if you're right.

Answer 16

Can I have the explanation on how to do it and answer please.

Answer 17

The answers are \[x = {1, \frac{ 5 }{ 2 }}\]And as for the how, it's solving algebraic equations. You know, inverse operations?

Answer 18

Yes i do.

Answer 19

Great. So you get it?

Answer 20

Yes thank you soo much!

Answer 21

No problem. Glad to help.