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

(3x - 4) + (1 - 2x)i  =  5 + 0i

Set the real part equal to the real part:                    3x - 4  =  5   --->   x = 3

Set the imaginary part equal to the imaginary part:   1 - 2x  = 0   --->   x = 1/2

Impossible!