To solve the equation \( 13x - 1 = 19x - 25 \), we start by isolating \( x \).
- First, we'll subtract \( 13x \) from both sides:
\[ -1 = 19x - 13x - 25 \]
This simplifies to:
\[ -1 = 6x - 25 \]
- Next, add 25 to both sides to isolate the term with \( x \):
\[ -1 + 25 = 6x \]
This simplifies to:
\[ 24 = 6x \]
- Finally, divide both sides by 6 to solve for \( x \):
\[ x = \frac{24}{6} = 4 \]
Thus, the solution is:
\[ \boxed{4} \]