"the value inside the "color(blue)"absolute value bars "" can be"
"positive or negative "
rArr"there are 2 possible solutions"
5-2x=13larrcolor(red)"positive inside bars"
"subtract 5 from both sides"
cancel(5)cancel(-5)-2x=13-5
rArr-2x=8
"divide both sides by "-2
(cancel(-2) x)/cancel(-2)=8/(-2)
rArrx=-4larrcolor(blue)"first solution"
-(5-2x)=13larrcolor(red)"negative inside bars"
rArr-5+2x=13
"add 5 to both sides"
cancel(-5)cancel(+5)+2x=13+5
rArr2x=18
"divide both sides by 2"
(cancel(2) x)/cancel(2)=18/2
rArrx=9larrcolor(blue)"second solution"
color(blue)"As a check"
"Substitute these 2 possible solutions into the left side"
"of the equation and if equal to right side then they are"
"the solutions"
x=-4rArr|5+8|=|13|=13larr" True"
x=9rArr|5-18|=|=13|=13larr" True"
rArrx=-4" or "x=9" are the solutions"
