  In this article we consider T-dualization of a $3D$ closed bosonic string
that is propagating in space-time metric that has infinitesimal linear
dependence on the coordinates $x^\mu$. Other fields, Kalb-Ramond and dilaton
fields are set to zero. Action with this configuration of fields is not
invariant to translations. In order to find T-dual theory we will employ
generalization of the Buscher procedure that can be applied to such cases where
we have coordinate dependent fields that do not possess translational isometry.
Finally, using transformation laws that connect coordinates of starting and
T-dual theories, we will be able to examine the geometric structure of T-dual
theory.
