document.write( "Question 95640: 3/7x +2 =4/7x-5
\n" ); document.write( "I have tried this over and over again - i keep coming up with -49, but the answer should be 7. I cannot figure it out.
\n" ); document.write( "I learned that you should multiply everything by the LCD to make everything a whole number first.\r
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Algebra.Com's Answer #69672 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
I have worked your problem two different ways and find that the answer that you give (x = 7) is just not possible.
\n" ); document.write( "In the first place, to remove any ambiguity on the problem statement, please use parentheses! Why? Because...
\n" ); document.write( "3/7x can be interpreted to mean either: \"%283%2F7%29x\" or \"3%2F7x\"
\n" ); document.write( "Whereas, (3/7)x can be interpreted only as \"%283%2F7%29x\"\r
\n" ); document.write( "\n" ); document.write( "In the second place, the only way that I can get the answer that you give, (x = 7) is if the problem starts with \"%28-3%2F7%29x\", so...
\n" ); document.write( "\"%28-3%2F7%29x%2B2+=+%284%2F7%29x-5\" Multiply through by the LCD of 7.
\n" ); document.write( "\"7%28%28-3%2F7%29x%2B2%29+=+7%28%284%2F7%29x-5%29\" Simplify.
\n" ); document.write( "\"%28-3x%2B14%29+=+%284x-35%29\" Add 3x to both sides.
\n" ); document.write( "\"14+=+7x-35\" Add 35 to both sides.
\n" ); document.write( "\"49+=+7x\" Finally, divide both sides by 7.
\n" ); document.write( "\"7+=+x\" or \"x+=+7\"\r
\n" ); document.write( "\n" ); document.write( "Please check the original problem for a possible missing negative sign!
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