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 2.3 - Solving Linear Equations - Exercise Set - Page 141: 5

Answer

$x = 4$

Work Step by Step

To solve the equation $3x + 6 - x = 8 + 3x - 6$ we want to isolate the variable on one side of the equation and the constant terms on the other side. Therefore, we subtract $-3x$ from both sides: $6 - x = 8 - 6$ We then subtract $6$ from both sides to isolate the constants on the other side of the equation: $-x = 8 - 6 - 6$ Simplify the equation on the right-hand side: $-x = -4$ Now you divide both sides by $-1$ to isolate the $x$ term: $x = 4$
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