Answer
$E = \frac{k~q}{2~d^2}$
Work Step by Step
The electric field due to the point charge $q$ is directed in the positive x-direction. We can find the magnitude of the electric field due to the point charge $q$:
$E_1 = \frac{k~q}{d^2}$
The electric field due to the point charge $2q$ is directed in the negative x-direction. We can find the magnitude of the electric field due to the point charge $2q$:
$E_2 = \frac{k~(2q)}{(2d)^2} = \frac{k~q}{2~d^2}$
We can find the net electric field due to both point charges:
$E = E_1-E_2$
$E = \frac{k~q}{~d^2}-\frac{k~q}{2~d^2}$
$E = \frac{k~q}{2~d^2}$
