Question

What are the solutions to the equation |x - 10| - 4 = 2x?

Help me solve this please

Answer 1

= to 2x?
how am I supposed to solve this.

Answer 2

@abb0t

Answer 3

\[|x-3|=14\\
x-3=14\\x-3=-14\] solve the bottom two

Answer 4

one step each
ad \(3\) to both sides
clear?

Answer 5

yes now I got it thank you c:

Answer 6

yw

Answer 7

wait

Answer 8

^ i needed help with that one . I posted the wrong attachment -.-

Answer 9

pls try solving that using what @satellite73 has taught you

Answer 10

I had an answer for that question long ago.

Answer 11

First understand what abs value means?

Answer 12

It could either equal to -x or x

Answer 13

I just went through that lesson but I do not understand why it equals to 2x and in the lesson it did not teach how to get the x out of there.

Answer 14

okay good
now what is |x-4|?

Answer 15

if you understand abs value you just need to do the definition again and again

Answer 16

|x-10|-4=2x
don't bother yourself with that 2x
first look at your left hand side
First step isolate the abs value so it will be alone in the left hand side
to do this add 4 to both sides

Answer 17

added to 2x?

Answer 18

\(|x-10|-4=2x\\|x-10|=2x+4\)

Answer 19

6x

Answer 20

???

Answer 21

yes both side!
when you do equation you if you add something to one side you must add it to the other
so things stay right! this balancing
do you the old scaling you put 4 kg of meat in one side while you have 1kg unit in the other
so you add 3 more kg units to scale things
this pretty much it

Answer 22

I know those things, I just need to know why I have "=2x"

Answer 23

no no
2x+4
you can't go to say it is 6x okay
2x is different quantity that just 4
you have and x in there it is saying 2 of something which we don't know

Answer 24

friend! i told you don't pay attention to 2x that much okay
focus on abs value

Answer 25

so far we are at this |x-10|=2x+4
now if 2x+4 is just some number what would you do
x-10=2x+4
or -(x-10)=2x+4
right?

Answer 26

yes

Answer 27

you can see that i have to part again x-10=2x+4 or -(x-10)=2x+4
just like with |x|=a===> x=a or -x=a

Answer 28

Okay now you have two equation
that you need solve

Answer 29

okay show me that you can this level of algebra!

Answer 30

once you done! tag me to see your work