[tex]The\ perimeter\ \ of\ the\ triangle\ ABC:P_\Delta=|AB|+|AC|+|BC|\\-------------------------------\\|AB|=8x+2;\ |AC|=5x-4;\ |BC|=9x+3\\\\put\ these\ expressions\ into\ P_\Delta:\\\\P_\Delta=(8x+2)+(5x-4)+(9x+3)\\-------------------\\use\\Commutative\ property:a+b=b+a\\and\\Associative\ property:(a+b)+c=a+(b+c)\\------------------------\\P_\Delta=(8x+5x+9x)+(2-4+3)\\\\\boxed{P\Delta=22x+1}[/tex]
