The equation 10x+13=−12

Question

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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Answer 1

To solve the equation \( 10x + 13 = -12 \), we can follow these steps:

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

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

3. Now, divide both sides of the equation by 10: \[ x = \frac{-25}{10} \] This simplifies to: \[ x = \frac{-5}{2} \]

So the completed steps are:

• After subtracting 13, we have \( 10x = -25 \).
• Dividing both sides by 10, we get \( x = \frac{-5}{2} \).