Math Problem Statement

-8 = (x + 11) / -2

Solution

The equation shown in the image is:

8=x+112-8 = \frac{x + 11}{-2}

Steps to solve for xx:

  1. Multiply both sides by -2 to eliminate the denominator on the right side: (8)(2)=x+112×(2)(-8)(-2) = \frac{x + 11}{-2} \times (-2) This simplifies to: 16=x+1116 = x + 11

  2. Subtract 11 from both sides to isolate xx: 1611=x16 - 11 = x Simplifying: x=5x = 5

Final Answer:

x=5x = 5

Would you like more details or have any questions?

Here are 5 questions that expand on this information:

  1. How do you solve equations with negative denominators?
  2. What happens when you multiply both sides of an equation by a negative number?
  3. How can you check your solution for an equation?
  4. Can this equation be graphed on a coordinate plane? If so, how?
  5. What are some common mistakes when solving linear equations like this?

Tip: Always double-check your work by plugging the solution back into the original equation to verify it.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Algebra

Formulas

Multiplying both sides of an equation
Solving for x

Theorems

Basic properties of equality

Suitable Grade Level

Grades 6-8