Find the value of $\frac{\text{d}\text{e}\text{l}\text{z}}{\text{d}\text{e}\text{l}\text{x}}$ at the point $(1,1,1)$ if the equation $5xy{z}^{4}x-3yz=3$ defines $z$ as a function of the two independent variables $x$ and $y$ and the partial derivative exists.

$\frac{\text{d}\text{e}\text{l}\text{z}}{\text{d}\text{e}\text{l}\text{x}}{|}_{(1,1,1)}||=$

$($Type an integer or a simplified fraction.$)$