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5x-9=2-12i
Combine 2x and 3x to get 5x.
5x=2-12i+9
Add 9 to both sides.
5x=2+9-12i
Combine the real and imaginary parts in numbers 2-12i and 9.
5x=11-12i
Add 2 to 9.
x=\frac{11-12i}{5}
Divide both sides by 5.
x=\frac{11}{5}-\frac{12}{5}i
Divide 11-12i by 5 to get \frac{11}{5}-\frac{12}{5}i.