1/5 = -1/2x + 3/2
times both sides by 2 since on the right the common denominator is 2
2(1/5) = -1x + 3
2/5 = -1x + 3
then subtract both sides by three
2/5 = -1x + 3
-3 -3
or
2/5 = -1x + 15/5
-15/5 -15/5
then simplify
-2 3/5 = -1x
or
-13/5 = -1x
then divide both sides by -1
(-2 3/5)/-1 = -1x/-1
x = 2 3/5
or x = 13/5