Question 459671

(1+2i)x+3-2i = 4-5i+3ix

=> x + 2xi + 3 -2i = 4 -5i + 3xi

=> x + 2xi -3xi = 4 -5i -3 +2i

=> x -xi = 1 -3i

=> x(1-i) = 1-3i

=> x = (1-3i)/(1-i)

you can also simplify -  multiplying nominator and denominator by (1+i)

it will give 

x = 2 - i