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: 76

Answer

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

Work Step by Step

Distribute $3$ (on the left side of the equation) and combine like terms on the right side of the equation: $3x-3= 3x-3$ Solve the equation to obtain: $3x-3x=-3+3 \\0=0$ 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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