Answer
$x=\dfrac{21}{11}$
Work Step by Step
Multiplying both sides by the $LCD=
8
,$ the solution to the given equation, $
\dfrac{x+5}{2}+\dfrac{1}{2}=2x-\dfrac{x-3}{8}
,$ is
\begin{array}{l}\require{cancel}
4(x+5)+4(1)=8(2x)-1(x-3)
\\\\
4x+20+4=16x-x+3
\\\\
4x-16x+x=3-20-4
\\\\
-11x=-21
\\\\
x=\dfrac{-21}{-11}
\\\\
x=\dfrac{21}{11}
.\end{array}
