Thinking Mathematically (6th Edition)

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

Chapter 6 - Algebra: Equations and Inequalities - Chapter Summary, Review, and Test - Review Exercises - Page 403: 9

Answer

\[x=2\]

Work Step by Step

Consider the equation,\[5x-3=x+5\] Subtract \[x\]from both sides to get, \[4x-3=5\] Add \[3\]both sides to get, \[4x=8\] Divide both sides by 4 to get, \[x=2\] Now, to check it, put \[x=2\]in the equation,\[5x-3=x+5\]as follows: \[\begin{align} & 5\left( 2 \right)-3=2+5 \\ & 10-3=7 \\ & 7=7 \end{align}\] Which is true. Hence, the solution of the given equation is\[x=2\].
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