Question

Question The equation 10x+13=−12 is solved as follows. Enter the correct numbers to complete the solution.(2 points) 10x+13=−12 10x= Subtract 13 from both sides of the equation. x= Divide both sides of the equation by 10. If the answer is an improper fraction, enter the improper fraction.

Answer 1

Let's solve the equation step by step.

Starting with the original equation:

\[ 10x + 13 = -12 \]

1. Subtract 13 from both sides:

\[ 10x = -12 - 13 \]

Calculating the right side:

\[ 10x = -25 \]

2. 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:

1. \( 10x = -25 \)
2. \( x = \frac{-25}{10} \) or \( x = \frac{-5}{2} \) (both are correct).

If you need the answer as an improper fraction, you can use \( x = \frac{-25}{10} \).