document.write( "Question 95142: 5/6x+1/3= 3/4x-1/2 \n" ); document.write( "

Algebra.Com's Answer #69389 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
Assume you mean (x is not in the denominator)
\n" ); document.write( " $\"%285%2F6%29x+%2B+%281%2F3%29+=+%283%2F4%29x+-+%281%2F2%29\"$
\n" ); document.write( ":
\n" ); document.write( "Find a common multiple of all these denominators and multiply
\n" ); document.write( "12 is good choice:
\n" ); document.write( " $\"12%285%2F6%29x+%2B+12%281%2F3%29+=+12%283%2F4%29x+-+12%281%2F2%29\"$
\n" ); document.write( ":
\n" ); document.write( "After some easy canceling we have:
\n" ); document.write( "2(5)x + 4(1) = 3(3)x - 6(1)
\n" ); document.write( ":
\n" ); document.write( "10x + 4 = 9x - 6
\n" ); document.write( ":
\n" ); document.write( "Some basic algebra operations:
\n" ); document.write( "10x - 9x = -6 - 4
\n" ); document.write( "x = -10
\n" ); document.write( ":
\n" ); document.write( "You can substitute -10 for x in the original equation and check for equality \n" ); document.write( "

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