  We prove the local gradient H\"older regularity of viscosity solutions to the
inhomogeneous normalized $p(x)$-Laplace equation $$ -\Delta
u-(p(x)-2)\frac{\left\langle D^{2}uDu,Du\right\rangle }{\left|Du\right|^{2}} =
f(x), $$ where $p$ is Lipschitz continuous, $\inf p>1$, and $f$ is continuous
and bounded.
