Question

the equation 10x+13=-12 is solved as follows enter the correct numbers to complete the solution
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

Answers

Answered by GPT-4o mini
Let's solve the equation step by step.

Given:

\[ 10x + 13 = -12 \]

1. Subtract 13 from both sides:

\[ 10x = -12 - 13 \]

So:

\[ 10x = -25 \]

2. Now, divide both sides by 10:

\[ x = \frac{-25}{10} \]

3. Simplify the fraction:

\[ x = \frac{-5}{2} \]

So, the completed solution is:

1. **Subtract 13 from both sides of the equation:**
- \( 10x = -25 \)

2. **Divide both sides of the equation by 10:**
- \( x = \frac{-25}{10} \) (which simplifies to \( x = \frac{-5}{2} \))

Summary:
- After the subtraction: \( 10x = -25 \)
- After the division: \( x = \frac{-5}{2} \)

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