#### Answer

$x=-\dfrac{7}{5}$

#### Work Step by Step

Using the properties of equality, the solution to the given equation, $
4(5x-7)=-56
$, is
\begin{array}{l}\require{cancel}
4(5x)+4(-7)=-56
\\\\
20x-28=-56
\\\\
20x=-56+28
\\\\
20x=-28
\\\\
x=-\dfrac{28}{20}
\\\\
x=-\dfrac{\cancel{4}\cdot7}{\cancel{4}\cdot5}
\\\\
x=-\dfrac{7}{5}
.\end{array}