Consider the equation. 4(px+1)=64 the value of x in terms of p is the value of x when p is -5 is answer quickly

4(px+1) = 64   Distributive property

4px+4= 64     Subtract 4

4px = 60       Divide by 4

px = 15         divide by p

x= 15/p       substitute p with -5  

x = 15/-5     Divide

x = -3         Final answer

Consider the equation:

                               ...... (1)

Find the value of x in terms of p.

The distributive says that:

Apply the distributive property in equation (1):

Subtract 4 from both sides we have;

Divide both sides by 4p we have;

Simplify:

                         ...... (2)

Now, find the value of x when p = -5.

Substitute p = -5 in equation (2):

Simplify:

x =  -3

Therefore, the value of x in terms of p is, and the value of x = -3 when p -5