document.write( "Question 1015909: How do you solve this rational equation?:
\n" ); document.write( "(2x-5/x-3) - 2 = (3/x+3)
\n" ); document.write( "Thank you for your help, I just can't figure out the LCM. I thought it was (x + 3) which gave me x = 2, but when I checked the work it seems I was wrong. \n" ); document.write( "

Algebra.Com's Answer #632303 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Multiply both sides by $\"%28x%2B3%29%28x-3%29\"$ .
\n" ); document.write( " $\"%282x-5%29%28x%2B3%29-2%28x%2B3%29%28x-3%29=3%28x-3%29\"$
\n" ); document.write( " $\"2x%5E2%2B6x-5x-15-2%28x%5E2-9%29=3x-9\"$
\n" ); document.write( " $\"2x%5E2%2Bx-15-2x%5E2%2B18=3x-9\"$
\n" ); document.write( " $\"x%2B3=3x-9\"$
\n" ); document.write( " $\"-2x=-12\"$
\n" ); document.write( " $\"x=6\"$
\n" ); document.write( "Verifying,
\n" ); document.write( " $\"%282%286%29-5%29%2F%286-3%29-2=3%2F%286%2B3%29\"$
\n" ); document.write( " $\"%2812-5%29%2F3-3=3%2F9\"$
\n" ); document.write( " $\"7%2F3-6%2F3=1%2F3\"$
\n" ); document.write( " $\"1%2F3=1%2F3\"$
\n" ); document.write( "True, good solution.
\n" ); document.write( " \n" ); document.write( "

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