The equation 10x+13=−12

Question

is solved as follows. Enter the correct numbers to complete the solution.(1 point)
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

To solve the equation \(10x + 13 = -12\), we proceed with the following steps:

1. Subtract 13 from both sides of the equation:

\[ 10x + 13 - 13 = -12 - 13 \]

This simplifies to:

\[ 10x = -25 \]

2. Divide both sides of the equation by 10:

\[ x = \frac{-25}{10} \]

This can be simplified to:

\[ x = \frac{-5}{2} \]

Thus, filling in the blanks:

1. \(10x = -25\)

2. \(x = \frac{-25}{10}\) (or simplified, you can also enter \(x = \frac{-5}{2}\)).

So, the completed solution is:

1. \(10x = -25\)

2. \(x = \frac{-25}{10}\) or \(x = \frac{-5}{2}\).