Since the lines m and n are parallel lines we notice from the picture that the angles shown are equal, this means that:
[tex](7x-9)=(4x-3)[/tex]Solving for x we have:
[tex]\begin{gathered} (7x-9)=(4x-3) \\ 7x-4x=9-3 \\ 3x=6 \\ x=\frac{6}{3} \\ x=2 \end{gathered}[/tex]Therefore x=2.