The correct option is D x = 1
On cross multiplying the given equation, we get
(6x2+13x−4)(4x+3)=(12x2+5x−2)(2x+5)
24x3+52x2−16x+18x2+39x−12=24x3+10x2−4x+60x2+25x−10
24x3+70x2+23x−12=24x3+70x2+21x−10
Transposing all the terms with x and powers of x to one side and constants ot the other side,we get
24x3+70x2+23x−24x3−70x2−21x=−10+12
2x=2
∴x=1