Answer
$x\approx1.39$
Work Step by Step
By cross-multiplication, the solution to the given equation, $
\dfrac{-8.5}{x+1.9}=\dfrac{5.7}{x-3.6}
,$ is equivalent to
\begin{array}{l}\require{cancel}
-8.5(x-3.6)=5.7(x+1.9)
\\\\
-8.5x+30.6=5.7x+10.83
\\\\
-8.5x-5.7x=10.83-30.6
\\\\
-14.2x=-19.77
\\\\
x=\dfrac{-19.77}{-14.2}
\\\\
x\approx1.39
.\end{array}
