Answer:
![\text{The value of x in terms of p is }(15)/(p)](https://img.qammunity.org/2019/formulas/mathematics/high-school/h4dlno0aydttdy25xb1k5fpspvstw2l8uk.png)
The value of x is -3 when p is -5
Explanation:
Given the equation 4(px+1)=64
we have to find the value of x in terms of p and value of x when p is -5.
4(px+1)=64
Divide throughout by 4
⇒
![px+1=(64)/(4)=16](https://img.qammunity.org/2019/formulas/mathematics/high-school/2fm3oa2ps94lfg4uo60jjrqmayhs5vs1r5.png)
Subtracting 1 from both sides,we get
![px=16-1=15](https://img.qammunity.org/2019/formulas/mathematics/high-school/tsjy6m63ghi94lalydbhbm6xz6zabfvota.png)
⇒
![x=(15)/(p)](https://img.qammunity.org/2019/formulas/mathematics/high-school/d4rbchtfx3qc7najgugmje7v0yjw04tvz9.png)
When p=-5
![x=(15)/(-5)=-3](https://img.qammunity.org/2019/formulas/mathematics/high-school/slq7umswt1529gjhlyih42qmgm5avl8muu.png)
The value of x is -3 when p is -5