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The goal is to eliminate the denominators.
\n" ); document.write( "You should first make sure you can not factor anything, and then proceed.
\n" ); document.write( "Find the common denominator (every number/polynomial in the denominator must be represented)
\n" ); document.write( "In this case our common denominator is (2x-3)(x+2)\r
\n" ); document.write( "\n" ); document.write( "Multiply each side by (2x-3)(x+2)\r
\n" ); document.write( "\n" ); document.write( "Since (7/x+2) already contains x+2, these cancel, and you only multiply
\n" ); document.write( "7(2x-3)= 14x-21
\n" ); document.write( "Likewise with 4/2x-3. The 2x-3 on the denominator cancels and you multiply 4(x+2)= 4x+8\r
\n" ); document.write( "\n" ); document.write( "At this point your problem should look like this:
\n" ); document.write( "(14x-21)- (4x+8).
\n" ); document.write( "Since we have subtraction, we treat the negative sign like distributing a -1.
\n" ); document.write( "We then have:
\n" ); document.write( "14x-21-4x-8
\n" ); document.write( "Condense:
\n" ); document.write( "10x-29
\n" ); document.write( "Always check to see if you can further factor.
\n" ); document.write( "In this case, you can not.
\n" ); document.write( "Answer=10x-29 \n" ); document.write( "