\(5^3\left(3x+2\right)\div13=10^3\div\left(13^5\div13^4\right)\)
\(\Rightarrow125\left(3x+2\right)\div13=1000\div13\)
\(\Rightarrow125\left(3x+2\right)=1000\)
\(\Rightarrow3x+2=1000\div125\)
\(\Rightarrow3x+2=8\)
\(\Rightarrow3x=8-2\)
\(\Rightarrow3x=6\Rightarrow x=6\div3\Rightarrow x=2\)
Vậy : x = 2