Answer:
[tex]p=\frac{36}{5}[/tex]
Step-by-step explanation:
we are given
[tex]\frac{1}{3} (p+9)=3+2(p-6)[/tex]
Since, we have to solve for p
so, we will multiply both sides by 3
[tex]3\times \frac{1}{3} (p+9)=3\times (3+2(p-6))[/tex]
we can simplify it
[tex]p+9=3\times 3+3\times 2(p-6))[/tex]
[tex]p+9=9+6(p-6))[/tex]
[tex]p+9=9+6p-36[/tex]
[tex]p+9-9=9+6p-36-9[/tex]
[tex]p=6p-36[/tex]
Subtract both sides by 6p
[tex]p-6p=6p-36-6p[/tex]
[tex]-5p=-36[/tex]
Divide both sides by -5
and we get
[tex]p=\frac{36}{5}[/tex]
Answer:
36/5 or 7 1/5
Step-by-step explanation:
(1/3)(p+9)=3+2(p-6)
p/3 + 9/3 = 3 + 2p - 12
p/3 + 3 = -9 + 2p
Putting the like terms together
2p - p/3 = 3 + 9
(1 2/3)p = 12
(5/3)p = 12
p = 12×3/5
= 36/5
= 7 1/5
