Start by multiplying 3 on both sides, then distributing
(3) 5(x-2)/3 = -x +2 (3)
5(x-2) = -x + 2 (3)
5(x-2)= -3x+6
5x - 10 = -3x+6
Then add 10 on both sides
5x-10=-3x+6
+10 +10
5x=-3x+16
Then add 3x on both sides, then divide by 8 to find x
5x=-3x+16
+3x +3x
8x=16
8x/8= 16/8
x = 2