ANSWER
x = 4 - 2i
EXPLANATION
To solve this equation for x, first, we have to add 4i to both sides,
[tex]\begin{gathered} ix-4i+4i=2+4i \\ ix=2+4i \end{gathered}[/tex]And then multiply both sides by i,
[tex]i^2x=2i+4i^2[/tex]Remember that i² = -1,
[tex]-x=2i-4[/tex]Multiply both sides by -1,
[tex]x=4-2i[/tex]Hence, the solution is x = 4 - 2i.