Chapter 7 - Section 7.5 - Rationalizing Denominators and Numerators of Radical Expressions - Exercise Set - Page 446: 84

$x=-5$

Using the properties of equality, the value of $x$ that satisfies the given equation, $ 9x-4=7(x-2) ,$ is \begin{array}{l}\require{cancel} 9x-4=7x-14 \\\\ 9x-7x=-14+4 \\\\ 2x=-10 \\\\ x=-\dfrac{10}{2} \\\\ x=-5 .\end{array}