5^(x-1)+5^(x+2)=70*3^x

[latex]5^{x-1}+5^{x+2}=70*3^x\\5^{x-1}(1+5^{x+2-x+1})=70*3^x\\5^{x-1}(1+5^3)=70*3^x\\5^{x-1}*126=70*3^x\\5^x*5^{-1}*126=70*3^x\\ \frac{5^x}{3^x}= \frac{70*5}{126} \\\\( \frac{5}{3} )^x= \frac{25}{9}\\\\ ( \frac{5}{3} )^x =( \frac{5}{3} )^2\\\\x=2[/latex]