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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.

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1 answer

To solve the equation \(10x + 13 = -12\), let's complete the solution step by step:

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

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

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

  4. Simplifying the fraction, we find: \[ x = \frac{-5}{2} \]

So, the solution can be filled in as:

  • For \(10x =\): -25
  • For \(x =\): \(-\frac{5}{2}\)