To solve for \( x \) in the equation \( 5x - 7 = 3 \), follow these steps:
- Add 7 to both sides of the equation:
\[ 5x - 7 + 7 = 3 + 7 \]
This simplifies to:
\[ 5x = 10 \]
- Next, divide both sides by 5:
\[ x = \frac{10}{5} \]
This simplifies to:
\[ x = 2 \]
So, the solution is:
\[ \boxed{2} \]