Answer :
[tex]Perimeter\ of\ the\ triangle:\\\\(5x-7)+(3x-4)+(2x-6)=5x+3x+2x-7-4-6=\boxed{10x-17}[/tex]
[tex]the\ perimeter\ of\ the\ triangle=\\=(5x-7)+(3x-4)+(2x-6)=10x-17\\\\10x-17>0\ \ \ \Rightarrow\ \ \ x>1.7[/tex]