#(2x-5)/4-x/3=2-(x+4)/6#
#color(red)(3/3)*(2x-5)/4-color(blue)(4/4)*x/3=color(green)(12/12)*2-color(cyan)(2/2) (x+4)/6#
#(3(2x-5))/12-(4x)/12=24/12-(2(x+4))/12#
#(3(2x-5)-4x)/12=(24-2(x+4))/12#
#(3(2x-5)-4x)/cancel(12)=(24-2(x+4))/cancel(12)#
#3(2x-5)-4x=24-2(x+4)#
#cancel(6x)-15-cancel(4x)=24-2x-8#
#2x-15=16-2x#
#2x+2x=16+15#
#4x=31#
#(cancel(4)x)/cancel(4)=31/4#
#x=31/4#