Answer:
Step-by-step explanation:
[tex]\left|2x\right|+1=3\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\\left|2x\right|+1-1=3-1\\\\Simplify\\\left|2x\right|=2\\\\\mathrm{Apply\:absolute\:rule}:\\\quad \mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\\\2x=-2\quad \mathrm{or}\quad \:2x=2\\\\2x=-2\quad :\quad x=-1\\2x=2\quad :\quad x=1\\\\\mathrm{Combine\:Solutions:}\\\\x=-1\quad \mathrm{or}\quad \:x=1[/tex]
