11.49^5x+2=(1/7)^11-x

11.49^5x+2=(1/7)^11-x

$11.49^5x+2=(1/7)^{11}-x\\ 11.49^5x+x=(1/7)^{11}-2\\ x(1+11.49^5)=(1/7)^{11}-2\\ x=\frac{(1/7)^{11}-2}{(1+11.49^5)}$

x approx equal  (1/7^11-2)/(1+11.49^5) = -0.0000099868306047