To solve the equation \( 25 + 8t = 10 + 13t \), we can start by isolating the variable \( t \).
- Move all terms involving \( t \) to one side by subtracting \( 8t \) from both sides:
\[ 25 = 10 + 13t - 8t \] \[ 25 = 10 + 5t \]
- Next, subtract \( 10 \) from both sides to isolate the term with \( t \):
\[ 25 - 10 = 5t \] \[ 15 = 5t \]
- Finally, divide both sides by \( 5 \) to solve for \( t \):
\[ t = \frac{15}{5} \] \[ t = 3 \]
Thus, the solution is \( t = 3 \).