Solve the Equation Below Algebraically $$2 x \ln \left( \frac { 1 } { x } \right) - x = 0$$

Multiple Choice

Solve the equation below algebraically. Round your result to three decimal places.
$$2 x \ln \left( \frac { 1 } { x } \right) - x = 0$$

A) $0.607$
B) $0.000$
C) $- 2.009$
D) $2.086$
E) $- 1.058$