Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - 6.2 Linear Equations in One Variable and Proportions - Exercise Set 6.2 - Page 362: 75

Answer

$\left\{x|x \text{ is a real number}\right\}$.

Work Step by Step

Distribute $2$ (on the left side of the equation) and combine like terms on the right side of the equation: $2x+8 = 2x+8$ Solve the equation to obtain: $2x-2x=8-8 \\0=0$ This is a true statement. Thus, any real number will satisfy the given equation. The solution set is $\left\{x|x \text{ is a real number}\right\}$.
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