(x-4)/(x+6)=(2x+3)/(2x-1)

(x-4)/(x+6)=(2x+3)/(2x-1)

By cross multiplying
(x-4) (2x-1)=( 2x+3) (x+6)
2X²-8x-x+4=2x²+12x+3x+18
2X²-9x+4=2x²+15x+18
2X²-9x+4-2x²-15x-18=0
-24x -14=0
-24x = 14
Divided by -24  both side, we have
X =14/-24
Cutting by 2
X = 7/-12