document.write( "Question 627732: Hello My name is Aj and this is my problem:\r
\n" ); document.write( "\n" ); document.write( "I must \"Solve for given variable\" (I presume they want me to solve for \"x\")\r
\n" ); document.write( "\n" ); document.write( "(3x +4)/(x -2) = 5/6 The answer is \" x = -(34/13) \"\r
\n" ); document.write( "\n" ); document.write( "THINGS I HAVE TRIED\r
\n" ); document.write( "\n" ); document.write( "Step 1 : (3x +4)/(x -2) = 5/6
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\n" ); document.write( " 2x -2 = 5/6 \r
\n" ); document.write( "\n" ); document.write( "(I divided the two set of numbers because I didn't know any other way of getting rid of the second variable.) \r
\n" ); document.write( "\n" ); document.write( "Step 2 : 2x -2 = 5/6
\n" ); document.write( " (add +2 to both sides to get rid of the \"-2\")
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\n" ); document.write( " 2x = 17/6
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\n" ); document.write( "Step 3 : (2x)/2 = (17/6)/2
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\n" ); document.write( " x = ?
\n" ); document.write( "(I don't even know how to go about finishing this. but whatever this answer would end up being, im pretty sure its not \" x = -(34/13)\" )\r
\n" ); document.write( "\n" ); document.write( "My question is,\"What am I doing wrong, and How do I correctly solve for \" x \". \"\r
\n" ); document.write( "\n" ); document.write( " Thank you for you time and your assistance,
\n" ); document.write( " AJ.\r
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Algebra.Com's Answer #395094 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"%283x+%2B4%29%2F%28x+-2%29+=+5%2F6\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"6%283x+%2B4%29+=+5%28x+-2%29\" Cross multiply\r
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\n" ); document.write( "\n" ); document.write( "\"18x%2B24=5x-10\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"18x=5x-10-24\" Subtract \"24\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"18x-5x=-10-24\" Subtract \"5x\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"13x=-10-24\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"13x=-34\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"x=%28-34%29%2F%2813%29\" Divide both sides by \"13\" to isolate \"x\".\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the solution is \"x=-34%2F13\" \r
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\n" ); document.write( "\n" ); document.write( "So your answer is correct. However, there are a few issues in your steps (eg: you lost a negative sign somewhere, not sure where).\r
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\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
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\n" ); document.write( "\n" ); document.write( "Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you\r
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\n" ); document.write( "\n" ); document.write( "Jim
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