Answer
$a=\dfrac{13}{14}$
Work Step by Step
Multiplying both sides by the $LCD=
8
,$ the solution to the given equation, $
\dfrac{a-1}{2}+a=2-\dfrac{2a+7}{8}
,$ is
\begin{array}{l}\require{cancel}
4(a-1)+8(a)=8(2)-1(2a+7)
\\\\
4a-4+8a=16-2a-7
\\\\
4a+8a+2a=16-7+4
\\\\
14a=13
\\\\
a=\dfrac{13}{14}
.\end{array}
