#"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"#
