Rusty has the right answer.
My approach is just a little different:
REMEMBER YOUR GOAL IN ANY PROBLEM: Get the variable alone on one side of the equal sign.
Step 1. Do the math according to the order of operations:
Step 2. Get U alone on one side of the equal sign by removing everything else from that side:
(Remember: What you do to one side of the = sign, you must do to the other side as well, so you do not change the value)
Step 3. Divide to Solve for U
1. Multiply: 2u - 3 = 2(4 - u) -3
2u - 3 = 8 - 2u - 3
2. Add: 2u - 3 + 3 = 8 - 2u - 3
2u = 8 - 2u
Add: 2u + 2u = 8 - 2u
4u = 8
3: Divide: 4u =
u = 2