#### Answer

$d=17$

#### Work Step by Step

Using the properties of equality, the solution to the given equation, $
5(d+4)=7(d-2)
$, is
\begin{array}{l}
5d+20=7d-14
\\\\
5d-7d=-14-20
\\\\
-2d=-34
\\\\
d=\dfrac{-34}{-2}
\\\\
d=17
.\end{array}
CHECKING:
\begin{array}{l}
5(17+4)=7(17-2)
\\\\
5(21)=7(15)
\\\\
105=105
\text{ (TRUE)}
.\end{array}
Hence, the solution is $
d=17
$.