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Can someone please break down "2u-3=2(4-u)-3" solving for u

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4 Answers

Remember "PEMDAS" for the order of operations.
First, parenthesis
second, exponents,
Third, multiply and divide.
Finally, add and subtract,
Hope this helps.
Good hearing from a fellow Virginian, Lee!
 
The "-3's" on both sides balance out ... 2u = 2(4-u) ... the "2's" balance out ... u= 4-u
... put minus elements "on the other side" ... u+u =4 ... sounds like 2+2 =4 ==> u=2
... Best wishes :)
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:
(Think:  "Please Excuse My Dear Aunt Sally")
 
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
 
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 + 3
                         2u = 8 - 2u
 
    Add:  2u + 2u = 8 - 2u + 2u
                     4u = 8
 
3:  Divide:  4u  = 8
                 4       4
 
                   u  = 2
 
 
 
 
 
 
 
 
 
 
I need a breakdown of how to solve for u. My mom and I have worked the problem and we've both gotten different answers. So i need someone to break down how they would sove it.
 

2u-3=2(4-u)-3

First, distribute the 2 on the right side:   

2(4-u) = 8 - 2

now it is

2u - 3 = 8 - 2u -3

 
Next, we can add 3 to each side. That leaves:
 

2u = 8 - 2u

Now, add 2u to each side:
 

4u = 8

Finally divide each side by 4:

u = 2

 
Hope this helps, and vote for me.