Introductory Algebra for College Students (7th Edition)

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

Chapter 2 - Section 2.5 - An Introduction to Problem Solving - Exercise Set - Page 168: 68

Answer

$$x = 64$$

Work Step by Step

To solve this equation, we need to isolate the variable on one side of the equation and the constants on the other. Distribute what is in parentheses first: $$x = 360 - 4x - 40$$ Move the variable to one side of the equation by adding $4x$ to each side: $$5x = 360 - 40$$ Simplify the right-hand side of the equation: $$5x = 320$$ Isolate $x$ by dividing both sides of the equation by $5$: $$x = 64$$
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