Answer
$x=-2$
Work Step by Step
Multiplying both sides by the $LCD=
20
$, then the solution to the given equation, $
\dfrac{x}{5}-\dfrac{x}{4}=\dfrac{1}{10}
,$ is
\begin{array}{l}
4(x)-5(x)=2(1)
\\\\
4x-5x=2
\\\\
-x=2
\\\\
x=-2
.\end{array}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 6 - Sections 6.1-6.5 - Integrated Review - Expressions and Equations Containing Rational Expressions - Page 380: 28c
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