document.write( "Question 768626: These are rational equations. I need to solve.\r
\n" ); document.write( "\n" ); document.write( "(3/x-2) + 1/2 = (x/x-2)\r
\n" ); document.write( "\n" ); document.write( "Thanks!
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Algebra.Com's Answer #468432 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
Not sure if you mean what you wrote, \"%283%2Fx-2%29+%2B+1%2F2+=+%28x%2Fx-2%29\", or something else like maybe \"3%2F%28x-2%29%2B1%2F2=x%2F%28x-2%29\".
\n" ); document.write( "(EDIT: SEE MUCH LOWER DOWN, THE EQUATION YOU REALLY WANTED HELP WITH.)\r
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\n" ); document.write( "\n" ); document.write( "Using exactly what you wrote, \"%283%2Fx-2%29+%2B+1%2F2+=+%28x%2Fx-2%29\", multiply both members by x.
\n" ); document.write( "\"3-2x%2Bx%2F2=x-2x\"
\n" ); document.write( "\"3%2Bx%2F2=x\"
\n" ); document.write( "\"3=x-x%2F2\"
\n" ); document.write( "\"3=x%2F2\"
\n" ); document.write( "\"x=6\"\r
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\n" ); document.write( "\n" ); document.write( "------------------------------------
\n" ); document.write( "THIS IS THE EQUATION YOU REALLY WANTED TO SHOW:
\n" ); document.write( "\"3%2F%28x-2%29%2B1%2F2=x%2F%28x-2%29\"
\n" ); document.write( "The simplest common denominator is 2*(x-2), so multiply both members by this product.\r
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\n" ); document.write( "\n" ); document.write( "\"+2%28x-2%29%283%2F%28x-2%29%29%2B%282%28x-2%29%29%281%2F2%29=2%28x-2%29%28x%2F%28x-2%29%29\"
\n" ); document.write( "You can find what factors between numerators and denominators cancel,...
\n" ); document.write( "\"2%2A3%2Bx-2=2x\"
\n" ); document.write( "\"6-2=x\"
\n" ); document.write( "FINAL ANSWER: \"highlight%28x=4%29\"
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