Verified answer

[tex] \frac{2x - 9}{3x - 4} = \frac{ - 5}{2} \\ [/tex]

On cross-multiplying,

[tex]4x - 18 = - 15x + 20 \\ [/tex]

On solving this equation,

[tex]19x = 38[/tex]

[tex]x = \frac{38}{19 \\ } [/tex]

[tex]x = 2[/tex]

by cross multiplication,

2(2x-9)= -5(3x-4)

4x-18= -15x-20

4x+15x= -20+18

19x= -2

x= -2/19

therfore,value of x is -2/19