[tex]\frac{2x-3}4 = \frac{x-5}3\\3(2x-3) = 4(x-5)\\6x-9=4x-20\\6x-4x=-20+9\\2x=-11\\x = -\frac{11}{2} = -5\frac12[/tex]
[tex]\frac{2x-3}{4} = \frac{x-5}{3} /*12\\\frac{12(2x-3)}{4} = \frac{12(x-5)}{3}\\3(2x-3) = 4(x-5)\\6x-9=4x-20 /-4x\\6x-4x-9=-20 /+9\\6x-4x=-20+9\\2x=-11\\x=\frac{-11}2=-5\frac12[/tex]
