Answer :
[tex]Formula\ for\ absolute\ value\\\\
|a|=a,\ for\ a \geq 0\\ or\\|a|=-a,\ for\ a<0\\\\
|2x+5|=3\\\\
2x+5=3\ \ \ \ or\ \ \ \ 2x+5=-3\\\\
2x=-2\ \ \ \ or\ \ \ \ 2x=-8\\\\
x=-1\ \ \ \ or\ \ \ \ x=-4
[/tex]
First equation: 2x+5=3
Second equation: 2x+5=-3
Solution for first equation:
2x+5=3
subtract 5
2x=-2
divide by 2
x=-1
Solution for second equation:
2x+5=-3
subtract 5
2x=-8
divide by 2
x=-4
Second equation: 2x+5=-3
Solution for first equation:
2x+5=3
subtract 5
2x=-2
divide by 2
x=-1
Solution for second equation:
2x+5=-3
subtract 5
2x=-8
divide by 2
x=-4