Question

trying to solve 3x/5 - 2 = x + 3

Answer 1

For starters, you could move the 2 over to the right. Do you know how to do that?

Answer 2

I do but I just went another route. 15 is the common denominator of 5 and 3 so I did the following. What do you think,,,

15(3x/5 - 2) = 15(x + 1/3)
15 . 3x/5 - 15(2) = 15 (x) + 15 (1/3)
9x - 30 = 15x + 5
9x - 30 - 9x = 15x + 5 - 9x
-30 - 5 = 6x + 5 - 5
-35 = 6x
x= -35/6

Is that right?

Answer 3

That would be correct. However, note that in your original wording you had (x + 3) on the right side but in your last post you put (x + 1/3). If it really is 1/3, then your answer is correct. If you made a typo and it's supposed to be 3 then your answer would not be correct but your method is right.