(2+3x)/(4-9x)-(1+3x)/(2-3x)-2/(3x-2)
=(2+3x)/(4-9x)+(1+3x)/(3x-2)-2/(3x-2)
=(2+3x)/(4-9x)+(3x-1)/(3x-2)
=(3x+2)(3x-2)/(4-9x)(3x-2)+(3x+1)(4-9x)/(4-9x)(3x-2)
=[(3x+2)(3x-2)+(3x+1)(4-9x)]/(4-9x)(3x-2)
=(9x^2-4-27x^2+3x+4)/(4-9x)(3x-2)
=(-18x^2+3x)/(4-9x)(3x-2)
=(18x^2-3x)/(9x-4)(3x-2)
=(18x^2-3x)/(27x^2-30x+8)