document.write( "Question 29621: Solve and check each of the following equations for x.\r
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\n" ); document.write( "\n" ); document.write( "Please help me.\r
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Algebra.Com's Answer #16533 by sdmmadam@yahoo.com(530)\"\" \"About 
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x/(x-2) - (x+1)/x = 8/(x^2-2x) ----(1)
\n" ); document.write( "x/(x-2) - (x+1)/x = 8/x(x-2)
\n" ); document.write( "Multiply by x(x-2) through out
\n" ); document.write( "xX(x)-(x+1)(x-2) = 8
\n" ); document.write( "x^2-[x(x-2)+1(x-2)]= 8
\n" ); document.write( "x^2-[x^2-2x+x-2] = 8
\n" ); document.write( "x^2-x^2+2x-x+2 = 8
\n" ); document.write( "(x^2-x^2)+(2x-x) = 8-2 (grouping like terms)
\n" ); document.write( "0+x = 6
\n" ); document.write( "x=6
\n" ); document.write( "Answer: x = 6
\n" ); document.write( "Verification: Putting x= 6 in (1) we have LHS = 1/3 =RHS
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