Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrr} & 5x & 3 \\ \color{blue}{ + } & -19x & 2 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrr} & 5x & 3 \\ \color{blue}{ + } & -19x & 2 \\ \hline & -14x & 5 \end{array} $$