Greetings!
"How to solve for[tex]x:1/5x+2=-1[/tex]?"...
[tex]1/5x+2=-1[/tex]
Add -2 to both sides.
[tex](1/5x+2)+(-2)=(-1) +(-2)[/tex]
Simplify.
[tex]1/5x=-3[/tex]
Divide both sides by 1/5.
[tex](1/5x)/ 1/5=(-3)/ 1/5[/tex]
Simplify.
[tex]x=(-3/1)*5/1[/tex]
[tex]x=(-15/1)[/tex]
The variable is equal to -15.
Hope this helps.
-Benjamin