Answer
$x=-\dfrac{7}{8}$
Work Step by Step
The solution to the given expression, $
x(x-3)=x^2+5x+7
$, is
\begin{array}{l}
x^2-3x-x^2-5x-7=0
\\\\
-8x-7=0
\\\\
-8x=0+7
\\\\
-8x=7
\\\\
x=\dfrac{7}{-8}
\\\\
x=-\dfrac{7}{8}
.\end{array}