document.write( "Question 423292: Solving a rational equation with an Extraneous solution, how would I solve this problem?\r
\n" ); document.write( "\n" ); document.write( "(2x+3)/(x-1)-2=(3x-1)/(4x-4) \n" ); document.write( "

Algebra.Com's Answer #295303 by Gogonati(855) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve:\r
\n" ); document.write( "\n" ); document.write( " $\"%28%282x%2B3%29%2F%28x-1%29%29-2=%28%283x-1%29%2F%284%2A%28x-1%29%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " Multiply both sides with LCD 4*(x-1) with the condition x different from 1.\r
\n" ); document.write( "\n" ); document.write( " $\"4%2A%282x%2B3%29-8%2A%28x-1%29=3x-1\"$ \r
\n" ); document.write( "\n" ); document.write( " 8x+12-8x+8=3x-1\r
\n" ); document.write( "\n" ); document.write( " 21=3x Divide both sides by 3\r
\n" ); document.write( "\n" ); document.write( " x=7.\r
\n" ); document.write( "\n" ); document.write( "You can check if x=7 satisfy the equation. \n" ); document.write( "

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