Chapter 6 - Section 6.5 - Solving Equations Containing Rational Expressions - Exercise Set - Page 379: 70

$x\approx-0.08$

Multiplying both sides by the $LCD= x ,$ then the solution to the given equation, $ \dfrac{12.2}{x}+17.3=\dfrac{9.6}{x}-14.7 ,$ is \begin{array}{l}\require{cancel} 1(12.2)+x(17.3)=1(9.6)-x(14.7) \\\\ 12.2+17.3x=9.6-14.7x \\\\ 17.3x+14.7x=9.6-12.2 \\\\ 32x=-2.6 \\\\ x=-\dfrac{2.6}{32} \\\\ x\approx-0.08 .\end{array}