What is the sum of the solutions of 2[x-1]-4=-2?

Question

What is the sum of the solutions of  2[x-1]-4=-2?

directrix · Answer

Are these brackets for absolute value or the greatest integer function or something else?
   @kaitlyn9695

anonymous · Answer

Honestly, I'm not sure. I got this question wrong and I'm trying to figure out how to solve it:/

anonymous · Answer

This is what it looks like on my paper

anonymous · Answer

|x-1| means the absolute value of x-1

anonymous · Answer

Absolute value of 1 = 1
Absolute value of -1 = 1

anonymous · Answer

Absolute value just means distance away from zero

anonymous · Answer

so it would be 2 [1]-4=-2

anonymous · Answer

don't take it into account at first

anonymous · Answer

solve for x

directrix · Answer

>>so it would be 2 [1]-4=-2     No

shaik0124 · Answer

2[x-1]-4=-2?
put x=0
2[0-1]-4=2*(-1)-4
             =-2-4=-6 since -6 is not equal to -2, 0  is not a solution
now try with another number lets take x=2
now 2[2-1]-4=2*1-4 
                  =-2
  since -2 is equal to -2 x=2 is a solution
similarly consider other values of x which satisfies the equation and add all those which satifies the equation

shaik0124 · Answer

@kaitlyn9695  got it?

anonymous · Answer

Yes thank you very much! Seeing it broken down was very helpful! This is my last class before I graduate and its a big pain in the butt!

anonymous · Answer

and the add 2 to each side came from the 4?

shaik0124 · Answer

on the right hand side  2 is negative so -2+2 will be 0

anonymous · Answer

okay I understand now. When I do future equations like this I just need to plug in the multiple choice option and see if its equal

shaik0124 · Answer

yeah

shaik0124 · Answer

or u can do like this
 2[x-1]-4=-2
add 2 on both sides then u will get

2[x-1]-4+2=-2+2
2[x-1]-2=0
again add 2 on both sides then u will get
2[x-1]=2
divide by 2 
the equation will be x-1=1
add 1 on both sides
x=2

shaik0124 · Answer

Just plugin

shaik0124 · Answer

have u understood the way i solved

anonymous · Answer

It makes a lot more sense now. Thank you! You're a great teacher

shaik0124 · Answer

u can plugin or directly obtain the value of variable by adding or subtracting (whatever is required

shaik0124 · Answer

U can take my help anytime
pleasure to help u

anonymous · Answer

Thank you, I will let you know if I get stuck again.

shaik0124 · Answer

sure

zepdrix · Answer

$$\large\rm 2|0-1|-4=-2$$Absolute value of -1 is 1,$$\large\rm 2(1)-4=-2$$$$\large\rm -2=-2$$
@shaik0124 
Is true, so x=0 `is` a solution.

They wanted the `sum of the solutions` though,
2 + 0 = 2,
so missing that doesn't really affect your answer :)