#### Answer

$x=-\dfrac{1}{3}$

#### Work Step by Step

Using the properties of equality, the solution to the given equation, $
7x-6=25x
$, is
\begin{array}{l}\require{cancel}
7x-25x=6
\\\\
-18x=6
\\\\
x=\dfrac{6}{-18}
\\\\
x=\dfrac{1}{-3}
\\\\
x=-\dfrac{1}{3}
.\end{array}