The equation 5x+13=−12 is solved as follows. Enter the correct numbers to complete the solution.(1 point) 5x+13=−12 5x= Subtract 13 from both sides of the equation. x= Divide both sides of the equation by 5. If the answer is an improper fraction, enter the improper fraction.

1 answer

To solve the equation \( 5x + 13 = -12 \), we can follow these steps:

  1. Start with the given equation: \[ 5x + 13 = -12 \]

  2. Subtract 13 from both sides: \[ 5x = -12 - 13 \] \[ 5x = -25 \]

  3. Now, divide both sides of the equation by 5: \[ x = \frac{-25}{5} \] \[ x = -5 \]

So the completed solution is:

  • After subtracting 13, we have \( 5x = -25 \)
  • Finally, dividing by 5 gives \( x = -5 \).