Answer
$x=-\dfrac{17}{18}
$
Work Step by Step
Using cross-multiplication and the properties of equality, the value of the variable that satisfies the given equation, $
\dfrac{-4}{2x-1}=\dfrac{3}{3x+5}
,$ is
\begin{array}{l}\require{cancel}
-4(3x+5)=3(2x-1)
\\\\
-12x-20=6x-3
\\\\
-12x-6x=-3+20
\\\\
-18x=17
\\\\
x=\dfrac{17}{-18}
\\\\
x=-\dfrac{17}{18}
\end{array}
