document.write( "Question 29675: help me solve 2/3-5/6=1/x \n" ); document.write( "
Algebra.Com's Answer #16378 by sdmmadam@yahoo.com(530)\"\" \"About 
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solve 2/3-5/6=1/x ----(1)
\n" ); document.write( "Multiplying by 6x (which is the lcm of 2,3 and x)
\n" ); document.write( "2X(2x)-5X(x)= 1X(6)
\n" ); document.write( "4x-5x=6
\n" ); document.write( "-x = 6
\n" ); document.write( "That is x =-6
\n" ); document.write( "Answer: x = -6
\n" ); document.write( "Verification:The lcm on the left gives the left side=-1/6 =1/(-6)=1/x = RHS
\n" ); document.write( "Note: You may combine the two fractions on the LHS by finding the lcm and proceed too
\n" ); document.write( "[2X(2)-5X(1)]/6 = 1/x
\n" ); document.write( "(4-5)/6= 1/x
\n" ); document.write( "-1/6 =1/x
\n" ); document.write( "Recipracating (that is topsy turvying)
\n" ); document.write( "-6 = x
\n" ); document.write( "x=-6
\n" ); document.write( "Note: Reciprocating (p/q) means dividing 1 by (p/q) which becomes (q/p)\r
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