Hey!
First, let's write the problem.
[tex]5p-4p-8=-2+3[/tex]
Add like terms, [tex]5p-4p=p[/tex]
[tex]p-8=-2+3[/tex]
Add the numbers.
[tex]p-8=1[/tex]
Add 8 to both sides.
[tex]p-8+8=1+8[/tex]
Our final answer would be,
[tex]p=9[/tex]
This tells us that the equation [tex]5p-4p-8=-2+3[/tex] has one solution.
Thanks!
-TetraFish