document.write( "Question 649702: 6-2/3(x+3)+5/6x.\r
\n" ); document.write( "\n" ); document.write( "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?
\n" ); document.write( "

Algebra.Com's Answer #407073 by swincher4391(1107)\"\" \"About 
You can put this solution on YOUR website!
Let's work the problem out.\r
\n" ); document.write( "\n" ); document.write( "\"6+-+%282%2F3%29%28x%2B3%29+%2B+%285%2F6%29x\" \r
\n" ); document.write( "\n" ); document.write( "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.\r
\n" ); document.write( "\n" ); document.write( "\"36+-+4%28x%2B3%29+%2B+5x\"
\n" ); document.write( "\"36+-4x+-12+%2B5x\"
\n" ); document.write( "\"24+%2Bx\"
\n" ); document.write( "Now remember to divide by 6.
\n" ); document.write( "\"%28x%2B24%29%2F6\" <--- algebrator answer
\n" ); document.write( "Now distribute through the 1/6
\n" ); document.write( "\"x%2F6+%2B24%2F6\"
\n" ); document.write( "\"4+%2B+%281%2F6%29x\" <--- study guide answer\r
\n" ); document.write( "\n" ); document.write( "These are exactly the same answer.\r
\n" ); document.write( "\n" ); document.write( "Hope this helps!
\n" ); document.write( "-Devin
\n" ); document.write( "---------------------
\n" ); document.write( "DON'T FORGET TO LEAVE A THANK YOU NOTE TO EXPRESS FEEDBACK!
\n" ); document.write( "If you have any further questions contact onlyyourmathtutor@yahoo.com.
\n" ); document.write( "
\n" );