Answer
a=$\frac{4}{5}$
Work Step by Step
Original Equation
$\frac{1}{4}$(a+2)=$\frac{1}{6}$(5-a)
Multiply both sides by 12
3(a+2)=2(5-a)
Distribute
3a+6=10-2a
Add 2a and subtract 6 from both sides
5a=4
Divide both sides by 5
a=$\frac{4}{5}$