America, again I hope I am not too late.
2x/3 - 3 = 3x/5 + 4
First, let's add 3 to both sides.
2x/3 = 3x/5 + 7
Now, what is the LCM of 3 and 5? 15, right? Let's multiply both sides by 15.
30x/3 = 45x/5 + 105
10x = 9x + 105
x = 105
Let's check.
210/3 - 3 = 315/5 + 4
70 - 3 = 63 + 4
67 = 67
Check!