An electron $($q $=-1\mathrm{.}60$ x $10-19$ C$,$ m $=9\mathrm{.}11$ x $10-31$ kg$),$ initially located at the origin, is projected along the $+$x$-$axis with an initial speed of $4\mathrm{.}09$ x $106$ m$/$s$.$ It is slowed by the force from a uniform electric field and stops after traveling a distance of $53$ cm$.$ Find the electric field's x$-$component $($in N$/$C$).($Remember that vector components can be positive or negative.$)$

N$/$C