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4x=2i+3
Swap sides so that all variable terms are on the left hand side.
4x=3+2i
The equation is in standard form.
\frac{4x}{4}=\frac{3+2i}{4}
Divide both sides by 4.
x=\frac{3+2i}{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{3}{4}+\frac{1}{2}i
Divide 3+2i by 4.