Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter2: Solving Equations
Section2.2: The Distributive Property
Problem 2E
Related questions
Question
![**Problem Statement:**
Write the following as an algebraic expression. Simplify if possible.
Subtract \( 10x + 5 \) from \( 8x - 10 \).
**Solution:**
1. Write the expression to represent the operation:
\[
(8x - 10) - (10x + 5)
\]
2. Distribute the negative sign through the second group of terms:
\[
8x - 10 - 10x - 5
\]
3. Combine like terms:
\[
(8x - 10x) + (-10 - 5)
\]
4. Simplify:
\[
-2x - 15
\]
Thus, the simplified algebraic expression is:
\[
-2x - 15
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F341d995e-9e8c-41e6-a609-4a50ec068ac9%2F48bd73e4-8f34-478d-8536-662165da2f4a%2Fwlce4zr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Write the following as an algebraic expression. Simplify if possible.
Subtract \( 10x + 5 \) from \( 8x - 10 \).
**Solution:**
1. Write the expression to represent the operation:
\[
(8x - 10) - (10x + 5)
\]
2. Distribute the negative sign through the second group of terms:
\[
8x - 10 - 10x - 5
\]
3. Combine like terms:
\[
(8x - 10x) + (-10 - 5)
\]
4. Simplify:
\[
-2x - 15
\]
Thus, the simplified algebraic expression is:
\[
-2x - 15
\]
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