Subtact **7 + 9x** from **2 - 8x**. What is the differnce?

Type the answer that will correctly fill in the blank.

**x - ______**

To subtract **(7 + 9x)** from **(2 - 8x)**, we follow these steps:

1. Start with the expression **2 - 8x**.
2. Subtract the entire expression **(7 + 9x)** from it, so we write:
   \[
   (2 - 8x) - (7 + 9x)
   \]

3. Distribute the negative sign across the terms in the second expression:
   \[
   2 - 8x - 7 - 9x
   \]

4. Combine like terms:
   - The constant terms: \(2 - 7 = -5\)
   - The x-terms: \(-8x - 9x = -17x\)

So, the difference is:
\[
-5 - 17x
\]

Therefore, \(x - (-5)\) simplifies to \(x + 5\), but since the problem asks for the subtraction in the form of \(x - \text{______}\), the answer should fill in the expression that represents the subtracted value of \(x\) in the original difference.

This is simply \(-17x\). So, the answer to fill in the blank is:

\[
\boxed{-17x}
\]

Would you like more details or have any questions? 

Here are five related questions to consider:

1. How do you distribute negative signs in algebraic expressions?
2. What are like terms in an algebraic expression?
3. How can you simplify algebraic expressions after performing operations?
4. What happens when you subtract a polynomial from another?
5. How do you handle constants and variables when subtracting?

**Tip:** Always distribute the negative sign to every term in the expression you are subtracting.

Subtact 7 + 9x from 2 - 8x. What is the difference?

x - ______

Learn how to subtract polynomials by solving the problem 'Subtract 7 + 9x from 2 - 8x'. This step-by-step explanation covers key algebra concepts such as combining like terms and applying the distributive property. Perfect for students in Grades 6-8.

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