This should get you started any complex number $\displaystyle z$ can be written in the form
$\displaystyle z=x+iy$ then $\displaystyle \text{Re}(z)=x$ and$\displaystyle \text{Im}(z)=y$
and note that two complex numbers are equal if and only if there real and imaginary parts are equal. for example
$\displaystyle z=3+4i$ if and only if $\displaystyle x=3 \text{ and } y=4$
Try this and post again if you get stuck.
Now I understand, I have just a linear equation, I need to find x, and y and then insert them back to see if left side is equal to right. And I have to set the real parts of equation to equal and same for imaginary part
Am I right?
I don't have an instructor, this forum is my instructor.