The equation 10x+13=−12

is solved as follows. Supply the correct numbers to complete the solution.(1 point)
10x+13=−12
10x=

Subtract 13 from both sides.
x=

Divide both sides by 10.

5 answers

To solve the equation \( 10x + 13 = -12 \), we can follow the steps as you've started.

  1. Start with the equation: \[ 10x + 13 = -12 \]

  2. Subtract 13 from both sides: \[ 10x = -12 - 13 \] \[ 10x = -25 \]

  3. Now, divide both sides by 10: \[ x = \frac{-25}{10} \] \[ x = -2.5 \]

Thus, the completed solution is:

  1. \( 10x + 13 = -12 \)
  2. \( 10x = -25 \)
  3. \( x = -2.5 \)
x = -2.5 is wrong

Let's carefully solve the equation \( 10x + 13 = -12 \) step by step again to ensure accuracy.

  1. Start with the given equation: \[ 10x + 13 = -12 \]

  2. Subtract 13 from both sides: \[ 10x = -12 - 13 \] This simplifies to: \[ 10x = -25 \]

  3. Divide both sides by 10: \[ x = \frac{-25}{10} \] This simplifies to: \[ x = -2.5 \]

So the value of \( x \) is indeed \( -2.5 \). If this appears incorrect, please check the original equation or clarify where the misunderstanding might be. The step-by-step solution has been verified to show that \( x = -2.5 \) is indeed the correct answer.

divide both sides by 10

Let's clearly show the steps after obtaining \( 10x = -25 \) by dividing both sides by 10:

Given: \[ 10x = -25 \]

Now, to isolate \( x \), we divide both sides by 10: \[ x = \frac{-25}{10} \]

Now simplify: \[ x = -2.5 \]

In summary, the complete and correct steps are:

  1. Start with the equation: \[ 10x + 13 = -12 \]

  2. Subtract 13 from both sides to get: \[ 10x = -25 \]

  3. Divide both sides by 10: \[ x = -2.5 \]

If you believe \( -2.5 \) is incorrect, please double-check the original equation or provide additional context. According to the mathematical operations performed here, \( x = -2.5 \) is the correct solution.