document.write( "Question 701553: (7/(2x+1))-(8x/(2x-1))=-4 \n" ); document.write( "

Algebra.Com's Answer #432461 by Simnepi(216) $\"\"$ $\"About$

You can put this solution on YOUR website!
First thing in problems like this is to get rid of those horrible fractions!
\n" ); document.write( " $\"%287%2F%282x%2B1%29%29-%288x%2F%282x-1%29%29=-4\"$
\n" ); document.write( "If we multiply each term through the equation by (2x+1) we get
\n" ); document.write( " $\"%282x%2B1%29%287%2F%282x%2B1%29%29-%282x%2B1%29%288x%2F%282x-1%29%29=%282x%2B1%29%28-4%29\"$ the 2x+1 in the denominator of the first term will cancel with the 2x+1 on the top line
\n" ); document.write( "giving $\"7-%282x%2B1%29%288x%2F%282x-1%29%29=%282x%2B1%29%28-4%29\"$
\n" ); document.write( "that's got rid of the fraction from the first term so lets do a similar thing to the get rid of the second fraction.
\n" ); document.write( "This time we'll multiply each term by 2x-1 this will cancel with the denominator in the second fraction to give
\n" ); document.write( " $\"%282x-1%29%287%29-%282x%2B1%29%288x%29=%282x%2B1%29%282x-1%29%28-4%29\"$
\n" ); document.write( "Now we can multiply out all those brackets gives
\n" ); document.write( " $\"14x-7-16x%5E2-8x=-16x%5E2%2B4\"$
\n" ); document.write( "Simplifying gives
\n" ); document.write( "6x=3 therefore dividing by 6 gives
\n" ); document.write( "x= $\"1%2F2\"$ \n" ); document.write( "

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