When x = 5, the value of the expression StartFraction 20 Over negative 25 plus x EndFraction–2(x – 10) is

–21  
–9
9
19

Let's evaluate the given expression:

\[
\frac{20}{-25 + x} - 2(x - 10)
\]

### Step 1: Substitute \(x = 5\) into the expression.
\[
\frac{20}{-25 + 5} - 2(5 - 10)
\]

Simplify each part:

- In the denominator: \(-25 + 5 = -20\).
  So, the first term becomes:
  \[
  \frac{20}{-20} = -1
  \]

- In the second term: \(5 - 10 = -5\), so:
  \[
  -2(-5) = 10
  \]

### Step 2: Combine the results.
\[
-1 + 10 = 9
\]

Thus, the value of the expression is **9**.

The correct answer is:
\[
\boxed{9}
\]

Would you like more details on any step? Here are some related questions:

1. How do you simplify expressions with variables and constants?
2. What is the process of solving equations by substitution?
3. How do you evaluate an expression when a variable is given?
4. Can you explain how negative numbers interact in arithmetic operations?
5. What is the significance of combining like terms?

**Tip:** Always perform operations inside parentheses first to avoid calculation errors.

When x = 5, the value of the expression StartFraction 20 Over negative 25 plus x EndFraction–2(x – 10) is:
–21, –9, 9, or 19

Find the value of the expression (20 / (-25 + x)) - 2(x - 10) when x = 5 with a detailed step-by-step solution. This problem covers core algebraic concepts such as substitution and simplification. Ideal for students in Grades 7-9.

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