https://file.aiquickdraw.com/mathbot/file/1725839808198n8v75qxo.jpg

Let's break down the problem from the image step by step.

We are given:

\[
x - 2 = -7
\]

First, solve for \(x\):

\[
x = -7 + 2 = -5
\]

Now that we know \(x = -5\), we need to evaluate the expression:

\[
\frac{8 - 4x}{4}
\]

Substitute \(x = -5\) into this expression:

\[
\frac{8 - 4(-5)}{4} = \frac{8 + 20}{4} = \frac{28}{4} = 7
\]

Thus, the value of the expression is **7**.

Would you like more details on this solution or have any questions?

Here are 5 related questions to expand your understanding:

1. How do you simplify algebraic expressions with fractions?
2. What is the process for solving linear equations like \(x - 2 = -7\)?
3. How do you handle negative numbers when multiplying and adding?
4. Can you explain how to simplify complex fractions?
5. What is the general method for evaluating expressions once you know the variable's value?

**Tip**: Always substitute values into the expression carefully to avoid small sign errors, especially when dealing with negative numbers.

If x - 2 = -7, what is the value of (8 - 4x) / 4?

Learn how to solve the linear equation x - 2 = -7 and find the value of the expression (8 - 4x) / 4. This problem demonstrates key algebraic concepts and arithmetic operations, suitable for students in Grades 6-8.

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