Let's solve the equation step by step.
Starting with the original equation:
\[ 10x + 13 = -12 \]
- Subtract 13 from both sides:
\[ 10x = -12 - 13 \]
Calculating the right side:
\[ 10x = -25 \]
- Now, divide both sides by 10:
\[ x = \frac{-25}{10} \]
To simplify the fraction, we can divide both the numerator and the denominator by 5:
\[ x = \frac{-5}{2} \]
So the completed solution is:
- \( 10x = -25 \)
- \( x = \frac{-25}{10} \) or \( x = \frac{-5}{2} \) (both are correct).
If you need the answer as an improper fraction, you can use \( x = \frac{-25}{10} \).