Jan. 1st 2005 balance for Equipment 200,000 Dr.
Jan. 1st 2005 balance for Accumulated Depreciation 80,000 Cr.
Adjustment #1
Equipment maintenance was done costing 3,000 in early 2005 and was expensed, it is now ruled that it should be capitalized and spread over the remaining life of the equipment. The remaining life of equipment is not changed.
Adjustment #2
Equipment was purchased jan. 1st 2003, and is depreciated on a straight line basisover 5 years with no salvage value.

My Solution:
For #1 I figured there was no entry, and my entry for #2 was debit to Acc. Dep. Equip. 3,000; and credit Equipment Dep. Expense 3,000.

#1 if it was expensed and needs to be capitalize then it needs removed from the expense where it doesn't belong and put into the equipment where it does belong

#2 is backwards for a depreciation entry. And I don't know where you got the 3000 from. I don't see any information to figure that out.