To solve the equation \( 5.8 ( x - \frac{1}{2} ) = 10 \), if you want to reverse the multiplication by 5.8, you should divide both sides of the equation by 5.8.
So, the first step would be:
\[ \frac{5.8 ( x - \frac{1}{2} )}{5.8} = \frac{10}{5.8} \]
This simplifies to:
\[ x - \frac{1}{2} = \frac{10}{5.8} \]
So, you should divide both sides by 5.8.