  We develop a low scale left-right symmetric model based on $SU(3)_C\times
SU(2)_L\times SU(2)_R\times U(1)_{B-L}\times Z_2$ with a simplified Higgs
sector consisting of only one bidoublet and one $SU(2)_R$ doublet. In this
model, the tiny values of light neutrino masses are generated through an
inverse-seesaw mechanism. We emphasize that in this setup, the tree-level
flavor changing neutral current can be strongly suppressed, consistent with the
current experimental constraints. We show that the lightest $CP$-even Higgs
boson, which is like the standard model Higgs boson, and the next lightest
Higgs boson, $h'$, are generated from the neutral components of the bidoublet.
We show that the mass of the next lightest Higgs boson can be of an order a few
hundred~\text{GeVs}. We analyze the detection of $h'$ at the Large Hadron
Collider (LHC) for a center-of-mass energy $\sqrt{s}=14~\text{TeV}$ and
integrated luminosity $L_{\text{int}}=300~{\text{fb}}^{-1}$ via di-Higgs
channel: $h'\to hh\to b\bar{b}\gamma\gamma$ and also in the $ZZ$ channel:
$h'\to ZZ\to 4\ell~(\ell=e,~\mu)$ at an integrated luminosity
$L_{\text{int}}=3000~{\text{fb}}^{-1}$. We consider three benchmark points for
this analysis with $m_{h'}=250~\text{GeV},~400~\text{GeV}$, and
$600~\text{GeV}$. We show that promising signals with good statistical
significances can be obtained in di-Higgs channel, with $2\gamma+2b$-jets final
states.
