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9/5x - 4/x = 2/x-3 ----(1)
\n" ); document.write( "Multiplying by 5x(x-3) (which is the lcm of the drs)
\n" ); document.write( "9(x-3)-4X[5(x-3)]= 2X(5x)
\n" ); document.write( "9x-27-20(x-3) = 10x
\n" ); document.write( "9x-27-20x+60 = 10x
\n" ); document.write( "(9x-20x)+(60-27) = 10x
\n" ); document.write( "-11x+33 = 10x
\n" ); document.write( "33 = 10x+11x
\n" ); document.write( "33 =21x
\n" ); document.write( "That is 21x = 33
\n" ); document.write( "dividing by 21
\n" ); document.write( "x = 33/21 = 11/7
\n" ); document.write( "Answer: x = 11/7
\n" ); document.write( "Verificaion: x = 11/7 means (1/x)= 7/11
\n" ); document.write( "LHS of (1) = (9/5-4)X(1/x)
\n" ); document.write( "=[(9-20)/5]X(7/11)
\n" ); document.write( "=(-11)/5X7/11
\n" ); document.write( "=-7/5
\n" ); document.write( "RHS = 2/(x-3)
\n" ); document.write( "=2/[(11/7)-3]
\n" ); document.write( "=2/[(11-21)/7]
\n" ); document.write( "=2/[(-10)/7]
\n" ); document.write( "=2X[7/(-10)]
\n" ); document.write( "=-7/5
\n" ); document.write( "=LHS \n" ); document.write( "