According to the given data we have the following equation:
|x-5|=3
In order to solve the equation above we would make the following:
[tex]\mathrm{Apply\: absolute\: rule}\colon\quad \mathrm{If}\: |u|\: =\: a,\: a>0\: \mathrm{then}\: u\: =\: a\: \quad \mathrm{or}\quad \: u\: =\: -a[/tex]So, if x-5=-3. x=-3+5. x=2
Therefore the value of x would be 2
if x-5=3.x=3+5.x=8
Therefore the value of x would be 8.
Therefore, the combine solution would be:
x=2
x=8
