document.write( "Question 189175: I wrote prior that I can solve this but somehow it gets too much and confused and I am sure I made a mistake somewhere. Can you help me solving this?\r
\n" ); document.write( "\n" ); document.write( "9/(x+1) - 2/(x-2) = 5/(x+1) and help me to check all proposed solutions?
\n" ); document.write( "

Algebra.Com's Answer #141972 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
\"9%2F%28%28x%2B1%29%29\" - \"2%2F%28%28x-2%29%29\" = \"5%2F%28%28x%2B1%29%29\"
\n" ); document.write( ":
\n" ); document.write( "Multiply by (x+1)(x-2)*
\n" ); document.write( "(x+1)(x-2)*\"9%2F%28%28x%2B1%29%29\" - (x+1)(x-2)*\"2%2F%28%28x-2%29%29\" = (x+1)(x-2)*\"5%2F%28%28x%2B1%29%29\"
\n" ); document.write( "Cancel out the denominators and you have;
\n" ); document.write( "9(x-2) - 2(x+1) = 5(x-2)
\n" ); document.write( ":
\n" ); document.write( "9x - 18 - 2x - 2 = 5x - 10
\n" ); document.write( ":
\n" ); document.write( "x's on the left numerals on the right
\n" ); document.write( "9x - 2x - 5x = -10 + 2 + 18
\n" ); document.write( ":
\n" ); document.write( "2x = 10
\n" ); document.write( "x = \"10%2F2\"
\n" ); document.write( "x = 5
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in original equation
\n" ); document.write( "\"9%2F%28%28x%2B5%29%29\" - \"2%2F%28%285-2%29%29\" = \"5%2F%28%285%2B1%29%29\"
\n" ); document.write( "\"9%2F6\" - \"2%2F3\" = \"5%2F6\"
\n" ); document.write( "\"9%2F6\" - \"4%2F6\" = \"5%2F6\"
\n" ); document.write( "
\n" );