Solve for x:
minus, 8, x, minus, 9, equals, minus, 3, x, plus, 16
−8x−9=
−3x+16
Answer

To solve the equation \(-8x - 9 = -3x + 16\) for \(x\), follow these steps:

1. **Move the terms involving \(x\) to one side:**

   Add \(8x\) to both sides:

   \[
   -8x - 9 + 8x = -3x + 16 + 8x 
   \]

   Simplifying, we get:

   \[
   -9 = 5x + 16 
   \]

2. **Move the constant terms to the other side:**

   Subtract 16 from both sides:

   \[
   -9 - 16 = 5x + 16 - 16 
   \]

   Simplifying, we get:

   \[
   -25 = 5x 
   \]

3. **Solve for \(x\):**

   Divide both sides by 5:

   \[
   x = \frac{-25}{5} 
   \]

   Simplifying, we find:

   \[
   x = -5 
   \]

Thus, the solution is \(x = -5\).

If you have any further questions or need additional explanations, feel free to ask!

Here are some related questions you might find helpful:

1. How do you solve linear equations with variables on both sides?
2. What is the importance of isolating the variable in an equation?
3. How can you check your solution to a linear equation?
4. What are some common mistakes to avoid when solving equations?
5. How do you solve equations with fractions or decimals?
6. Can you explain how to solve inequalities in a similar way to equations?
7. How does the solution process change for quadratic equations?
8. How do you solve systems of equations involving two variables?

**Tip:** Always check your solution by substituting it back into the original equation to verify its correctness.

Learn how to solve the linear equation -8x - 9 = -3x + 16 step-by-step. This problem involves isolating the variable and performing arithmetic operations. Suitable for Grades 7-9.

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