Let's solve the equation \( 10 = 6.71 - 0.024x \).

### Step-by-Step Solution:

1. Start with the given equation:
   \[
   10 = 6.71 - 0.024x
   \]

2. Subtract 6.71 from both sides:
   \[
   10 - 6.71 = -0.024x
   \]
   \[
   3.29 = -0.024x
   \]

3. Divide both sides by -0.024 to isolate \(x\):
   \[
   x = \frac{3.29}{-0.024}
   \]

4. Simplify the right-hand side:
   \[
   x = -137.08
   \]

Thus, the solution is \( x = -137.08 \).

Would you like more details or have any questions?

Here are some related questions you might consider:
1. How do we solve linear equations with variables on both sides?
2. What happens when the coefficient of the variable is negative?
3. How can you verify the solution to a linear equation?
4. What are the methods for solving equations involving fractions?
5. How can equations be solved graphically?

**Tip:** Always double-check your solution by plugging the value of the variable back into the original equation!

Learn how to solve the linear equation 10 = 6.71 - 0.024x with a clear step-by-step solution. This problem focuses on key algebraic concepts, such as isolating the variable and solving for x. Suitable for students in Grades 8-10.

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