Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrr} & 5x^3 & 6x \\ \color{blue}{ + } & 7x^3 & -4x \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrr} & 5x^3 & 6x \\ \color{blue}{ + } & 7x^3 & -4x \\ \hline & 12x^3 & 2x \end{array} $$