document.write( "Question 141993: What are the steps taken to solve this problem algebraically?
\n" ); document.write( "5-(2)/(x-6) = (10-2x)/(x-6)\r
\n" ); document.write( "\n" ); document.write( "I know that first i have to find the LCD which is 6, then multiply that times both sides of the equation. I also know that the answer will be x=6 because of the denominator (it has a variable)and it can't possibly be a solution. Can you help me set this equation up step by step so that i can see exactly how the answer is obtained
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Algebra.Com's Answer #103399 by HyperBrain(694)\"\" \"About 
You can put this solution on YOUR website!
\"5-%282%29%2F%28x-6%29+=+%2810-2x%29%2F%28x-6%29\"
\n" ); document.write( "Notice that if you multiply both sides by x-6,
\n" ); document.write( "5(x-6)-2=10-2x
\n" ); document.write( "(5x-30)-2=10-2x
\n" ); document.write( "5x-30-2=10-2x
\n" ); document.write( "5x-32=10-2x
\n" ); document.write( "5x+2x-32=10-2x+2x
\n" ); document.write( "7x-32=10+0=10
\n" ); document.write( "7x-32+32=10+32
\n" ); document.write( "7x+0=7x=42
\n" ); document.write( "x=6\r
\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( "\"5-2%2F%286-6%29+=+%2810-2x%29%2F%286-6%29\"
\n" ); document.write( "\"5-2%2F0=%2810-2x%29%2F0\"\r
\n" ); document.write( "\n" ); document.write( "We all know that division by ZERO is undefined therefore there is NO SOLUTION\r
\n" ); document.write( "\n" ); document.write( "Power up,
\n" ); document.write( "HyperBrain!
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