Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 2 - Equations, Inequalities, and Problem Solving - 2.2 Using the Principles Together - 2.2 Exercise Set: 81

Answer

$x=2$

Work Step by Step

Using the properties of equality, the solution to the given equation, $ 19-(2x+3)=2(x+3)+x $, is \begin{array}{l} 19-2x-3=2x+6+x \\\\ -2x-2x-x=6-19+3 \\\\ -5x=-10 \\\\ x=\dfrac{-10}{-5} \\\\ x=2 .\end{array} CHECKING: \begin{array}{l} 19-(2\cdot2+3)=2(2+3)+2 \\\\ 19-(4+3)=2(5)+2 \\\\ 19-7=10+2 \\\\ 12=12 \text{ (TRUE)} .\end{array} Hence, the solution is $ x=2 $.
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