x/5 - x + 2/3 = 1/5 .............let's begin by trying to get all the x's on one side

=> x/5 - x = 1/5 - 2/3 .........subtracted 2/3 from both sides

=> (x - 5x)/5 = -7/15 ..........combined fractions on both sides

=> x - 5x = -7/3 .................multiplied through by 5

=> -4x = -7/3 ....................added all the x's to get them in one term

=> x = 7/12 .......................divided both sides by -4