The answer to 1/4x - 6 = 3/5 is x = 132/5, or if you want to simplify it to a mixed fraction, it'd be 26 2/5. Here are the steps:
1/4x - 6 = 3/5
+6 +6 Add 6 to each side to isolate the variable x.
1/4x = 6 3/5
(4)1/4x = 6 3/5(4) Multiply by 1/4's reciprocal (4), to isolate the variable x.
x = 33/5 (4)
x = 132/5
x = 26 2/5