Respuesta :

Answer:

p = 8

Step-by-step explanation:

17 = 3 ( p - 5 ) + 8

Distribute

17 = 3p - 15 + 8

Simplify

17 = 3p - 7

Inverse operations

17 = 3p - 7

+7         +7

24 = 3p

/3    /3

8 = p

Answer:

[tex]p=8[/tex]

Step-by-step explanation:

First you need to distribute the 3 with the values in the parentheses.

[tex]3*p= 3p\\3*-5=-15[/tex]

[tex]17=3p-15+8[/tex]

Then combine like terms...

[tex]17=3p-7\\17+7=3p-7+7\\24=3p\\\33p= 24[/tex]

Divide by 3 to get the variable by itself.

[tex]\frac{3p}{3}=\frac{24}{3}\\p=8[/tex]