Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrr} & -3x & 15 \\ \color{red}{ - } & -3x & 9 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrr} & -3x & 15 \\ \color{red}{ - } & 3x & -9 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrr} & -3x & 15 \\ \color{red}{ - } & 3x & -9 \\ \hline & -6x & 24 \end{array} $$