Solve for x: |x − 2| + 10 = 12

Question

jenniferjuice · Answer

x = 0 and x = 4

x = −4 and x = 0

x = −20 and x = 4

No Solution

johnweldon1993 · Answer

Well with absolute values...you first want to get it alone

so you have

|x - 2| + 10 = 12

you want the absolute value alone...so subtract 10 from both sides...

this will leave you with

|x - 2| = 2

Now this gives you 2 different equations....

x - 2 = 2
and
x - 2 = -2

solve both of those equations...and you will have your answer(s)

jenniferjuice · Answer

um is it .... x=-1
and x= 1 ?

jenniferjuice · Answer

or maybe x=4
and x= 0 ?

johnweldon1993 · Answer

Not quite....

our 2 equations are

x - 2 = 2

and

x - 2 = -2

so lets look at the first one

x - 2 = 2

Remember we want to solve for 'x'....since 2 is being taken away from 'x'....ask yourself....WHAT  minus 2....equals 2?

And for the other one

x - 2 = -2

same process....WHAT minus 2....equals -2?

jenniferjuice · Answer

wait would i add ?

jenniferjuice · Answer

x - 2 =  2
  + 2    +2
x  =  4

jenniferjuice · Answer

@Loser66  hey sorry to bother but can you help me?

loser66 · Answer

the first one, because if you have x=0, |0-2| =2 then +10 =12 check
                                                     x =4 ,|4-2|=2 then +10 =12 check
therefore, the first one is the right answer

jenniferjuice · Answer

so  x = 0 and x = 4 ?

loser66 · Answer

yes

johnweldon1993 · Answer

Yeah sorry about getting off....but yeah good job!