Answer: No solutions
Work Shown
x+3+2x=3x+2
3x+3=3x+2
3x+3-3x = 3x+2-3x ....... subtract 3x from both sides
0x+3 = 0x+2
0+3 = 0+2
3 = 2
We end up with a false equation, so the original equation is always false regardless of what we pick for x.
The equation has no solutions
We consider the equation to be a contradiction. This is because the left and right sides reach different numbers (i.e. the sides do not agree on the same value).
If you were to graph y = x+3+2x and y = 3x+2, you should notice that those equations produce parallel lines that never intersect. This is a visual indicator of "no solutions".