What is the solution of |x- 5|-2=10?

x=17, x=-7

Step-by-step explanation:

Step  1  :

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     |x-5|-2 = 10  

Another term is moved / added to the right hand side.

     |x-5| = 12  

Step  2  :

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |x-5|

For the Negative case we'll use -(x-5)  

For the Positive case we'll use (x-5)  

Step  3  :

Solve the Negative Case

     -(x-5) = 12  

    Multiply

     -x+5 = 12  

    Rearrange and Add up

     -x = 7  

    Multiply both sides by (-1)

     x = -7  

    Which is the solution for the Negative Case

Step  4  :

Solve the Positive Case

     (x-5) = 12  

    Rearrange and Add up

     x = 17  

    Which is the solution for the Positive Case

Step  5  :

Wrap up the solution

x=-7

x=17

the answer is A

Step-by-step explanation:

x=-7 or x=17

aloha~! my name is zalgo and i am here to you out on this amazing day. to answer your question, yes, nonzero numbers can have a greatest common factor and that would be 1. still don't get it? let me considering every number is divisible by 1 and hence every number has 1 as a factor of theirs. so, if 2 nonzero numbers didn't share any gcf (greatest common factor), they would still have a factor in common and that would be 1.

i hope that this ! : p

"stay and stay proud! " - zalgo

(by the way, do you mind marking me as brainliest? i'd greatly appreciate it! mahalo! x3)

teleportation

step-by-step explanation: