SOLUTION: 6-2/3(x+3)+5/6x. My study guide listed the answer as 4+1/6x, while algebrator has given me the answer (x+24)/(6). Could someone explain this in detail?

Algebra ->  Expressions-with-variables -> SOLUTION: 6-2/3(x+3)+5/6x. My study guide listed the answer as 4+1/6x, while algebrator has given me the answer (x+24)/(6). Could someone explain this in detail?      Log On


   

Question 649702: 6-2/3(x+3)+5/6x.
My study guide listed the answer as 4+1/6x, while algebrator has given me the answer (x+24)/(6). Could someone explain this in detail?
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
Let's work the problem out.
6+-+%282%2F3%29%28x%2B3%29+%2B+%285%2F6%29x
I don't like fractions, so the first thing I'm going to do is multiply every term by the gcd of the denominators... in this case 6. Now since this is an expression, I will need to divide everything by 6 when I get my final answer.
36+-+4%28x%2B3%29+%2B+5x
36+-4x+-12+%2B5x
24+%2Bx
Now remember to divide by 6.
%28x%2B24%29%2F6 <--- algebrator answer
Now distribute through the 1/6
x%2F6+%2B24%2F6
4+%2B+%281%2F6%29x <--- study guide answer
These are exactly the same answer.
Hope this helps!
-Devin
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