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

Let's solve the equation step by step.

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

  2. To isolate \(5x\), subtract 13 from both sides: \[ 5x = -12 - 13 \]

    Now, calculate the right side: \[ -12 - 13 = -25 \]

    So, we have: \[ 5x = -25 \]

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

    Calculate the division: \[ \frac{-25}{5} = -5 \]

Thus, the completed solution is:

  1. \( 5x = -25 \)
  2. \( x = -5 \)

The final answer is:

  • \( 5x = -25 \)
  • \( x = -5 \)