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?

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) (Show Source): You can put this solution on YOUR website!
Let's work the problem out.

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.

Now remember to divide by 6.
<--- algebrator answer
Now distribute through the 1/6

<--- study guide answer
These are exactly the same answer.
Hope this helps!
-Devin
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