1.
[tex]D:|x+2|\not=0\\D:x+2\not=2\\D:x\not=-2\\\\\\\dfrac{3}{|x+2|}=1\\\\|x+2|=3\\x+2=3 \vee x+2=-3\\x=1 \vee x=-5[/tex]
2.
[tex]D:|5x-2|\not=0\\D:5x-2\not=0\\D:x\not =\dfrac{2}{5}\\\\\\\dfrac{1}{|5x-2|}=0\\\\1=0\\\\x\in\emptyset[/tex]