#### Answer

$r=-\dfrac{1}{2}$

#### Work Step by Step

Using the properties of equality, the solution to the given equation, $
2r+8=6r+10
$, is
\begin{array}{l}
2r-6r=10-8
\\\\
-4r=2
\\\\
r=\dfrac{2}{-4}
\\\\
r=-\dfrac{1}{2}
.\end{array}
CHECKING:
\begin{array}{l}
2\left( -\dfrac{1}{2} \right)+8=6\left( -\dfrac{1}{2} \right)+10
\\\\
-1+8=-3+10
\\\\
7=7
\text{ (TRUE)}
.\end{array}
Hence, the solution is $
r=-\dfrac{1}{2}
$.