I'm super confused I haven't done algebra since high school and need to help a kid out. can someone please show me step by step how to do the following:

x x+4 2 2x - 2

-- + ----- - --- = - ---------

2 3 1 6

I've got:

3x + 2x + 8 - 12 -2x + 2

------------------- = --------------

6 6

7x = 6

x = (6/7)