Solve for x:

Question

x/3=x+2/5

Answer 1

multiply by 15 to get rid of those pesky fractions:

x/3 = x + 2/5
5x = 15x + 6
10x = -6
x = -3/5

or,

x/3 = (x+2)/5
5x = 3(x+2)
5x = 3x+6
2x = 6
x = 3

Answer 2

Do you mean:
x/3 = (x+2)/5
or
x/3 = x + 2/5

?

assuming the first
5 x = 3 x + 6
2 x = 6
x = 2

assuming the second (which you wrote)
x/3 = 3x/3 + 2/5
5 x = 15 x + 6
-10 x = 6
x = -3/5

Answer 3

assuming the first
5 x = 3 x + 6
2 x = 6
x = 3