Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 1 - Section 1.1 - Introduction to Algebra: Variables and Mathematical Models - Exercise Set - Page 11: 73


$5x = 24 - x$

Work Step by Step

First identify the task. In this case, it is to express "Five times a number is equal to 24 decreased by the number" as an equation. We are told to assume the number is "x". A method to solving this problem is to divide the given statement into sub parts and then combine each of these parts into an equation. "Fives times a number" can be expressed as "$5x$". "Is equal to 24" reminds us to connect the two sides with an equals sign, "$=24$". "decreased by the number" can be expressed as "$-x$". By putting these together, the answer is $5x = 24 - x$.
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