document.write( "Question 704757: 6/x+8/9=10/3x solve for x \n" ); document.write( "

Algebra.Com's Answer #434258 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Assume the problem is:
\n" ); document.write( " $\"6%2Fx+%2B+8%2F9+=+10%2F%283x%29\"$
\n" ); document.write( "multiply by 9x
\n" ); document.write( "9x* $\"6%2Fx\"$ + 9x* $\"8%2F9\"$ = 9x* $\"10%2F%283x%29\"$
\n" ); document.write( "Cancel the denominators
\n" ); document.write( "9(6) + 8x = 3(10)
\n" ); document.write( "54 + 8x = 30
\n" ); document.write( "8x = 30 - 54
\n" ); document.write( "8x = -24
\n" ); document.write( "8x = -24/8
\n" ); document.write( "x = -3
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check in the original equation, replace x with -3
\n" ); document.write( " $\"6%2F%28-3%29+%2B+8%2F9+=+10%2F%283%2A-3%29\"$
\n" ); document.write( "-2 + $\"8%2F9\"$ = $\"10%2F%28-9%29\"$
\n" ); document.write( " $\"-18%2F9\"$ + $\"8%2F9\"$ = $\"-10%2F9\"$ \n" ); document.write( "

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