Question

solve for x : -3|2x-6|= -12

Answer 1

-3|2x-6|= -12
divide both sides by 3
now we have this
|2x−6|=4
an absolute value has 2 solutions one positive and one negative
2x-6=4
2x-6=-4
solve both for x

Answer 2

? im kinda lost

Answer 3

on which part?

Answer 4

the sovle both for x what em i suppose to do

Answer 5

2x-6=4
simply isolate it
start by adding 6 to both sides
-6+6=?
4+6=?

Answer 6

so then you would get 2x=2 ?

Answer 7

or theres no solution

Answer 8

?

Answer 9

Not quite
\[\huge~\rm~ 2x−6+6=4+6\]
\[\huge~\rm~ 2x=10\]
divide both sides by 2
x= ?

Answer 10

so x =5

Answer 11

Good now for the 2nd solution you try it! :)
2x-6=-4

Answer 12

isnt that the one we just did ?

Answer 13

it has a negative 4 keep in mind that an absolute value has 2 solutions

Answer 14

oh okay let me try

Answer 15

so it would just be x

Answer 16

x=0

Answer 17

or i mean x=1

Answer 18

correct :)

Answer 19

x= 1

Answer 20

So what would our 2 answers be?

Answer 21

thanks
can you help me on one more problem

Answer 22

sure :)

Answer 23

its |x-2|+10=12

Answer 24

ok any ideas on what to do first?

Answer 25

do i subtract 10 on each side

Answer 26

?

Answer 27

*yes

Answer 28

because i have to isolate the x

Answer 29

ok the answer i got was x= -4 and x=0

Answer 30

correct set up the two problems
x-2=2
x-2=-2
Perfect :D
welll done!

Answer 31

thank you

Answer 32

yw ^_^