Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 2 - Chapters R-2 - Cumulative Review Exercises: 14

Answer

$x=-1$

Work Step by Step

Using the properties of equality, the solution to the given equation, $ \dfrac{3x-1}{5}+\dfrac{x+2}{2}=-\dfrac{3}{10} $ is \begin{array}{l}\require{cancel} 10\left( \dfrac{3x-1}{5}+\dfrac{x+2}{2} \right)=\left(-\dfrac{3}{10}\right)10 \\\\ 2(3x-1)+5(x+2)=(-3)1 \\\\ 6x-2+5x+10=-3 \\\\ 6x+5x=-3+2-10 \\\\ 11x=-11 \\\\ x=-\dfrac{11}{11} \\\\ x=-1 .\end{array}
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