## Introductory Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 1 - Section 1.4 - Basic Rules of Algebra - Exercise Set - Page 53: 60

#### Answer

$10x+5$

#### Work Step by Step

Commutative properties: $a+b=b+a,\qquad ab=ba$ Associative properties:$a+(b+c)=(a+b)+c,\qquad a(bc)=(ab)c$ Distributive property: $\quad A(x+y)=Ax+Ay$ Simplifying Algebraic Expressions: 1. Use distributive property to remove parentheses 2, Rearrange terms and group like terms using the commutative and associative properties. 3. Combine terms by combining the coefficients of the terms and keeping the same variable factor. --- $2(5x+4)-3=$ ... apply distributive property, $=2\cdot 5x+2\cdot 4-3$ ....simplify $=10x+8-3$ ...associative property: group like terms $=10x+(8-3)$ ... combine like terms, = $10x+5$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.