document.write( "Question 988156: (6/x+2)+(5/x-1)=(3x/x^2+x-2) \n" ); document.write( "

Algebra.Com's Answer #608798 by macston(5194) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( " $\"6%2F%28x%2B2%29%2B5%2F%28x-1%29=3x%2F%28x%5E2%2Bx-2%29\"$
\n" ); document.write( ".
\n" ); document.write( " $\"6%2F%28x%2B2%29%2B5%2F%28x-1%29=3x%2F%28%28x%2B2%29%28x-1%29%29\"$ Multiply through by x+2.
\n" ); document.write( ".
\n" ); document.write( " $\"6%2B%285%28x%2B2%29%29%2F%28x-1%29=3x%2F%28x-1%29\"$ Multiply through by x-1.
\n" ); document.write( ".
\n" ); document.write( " $\"6%28x-1%29%2B5%28x%2B2%29=3x\"$
\n" ); document.write( ".
\n" ); document.write( " $\"6x-6%2B5x%2B10=3x\"$
\n" ); document.write( ".
\n" ); document.write( " $\"11x%2B4=3x\"$
\n" ); document.write( ".
\n" ); document.write( " $\"8x=-4\"$
\n" ); document.write( ".
\n" ); document.write( " $\"x=-0.5\"$
\n" ); document.write( ".
\n" ); document.write( "CHECK:
\n" ); document.write( ".
\n" ); document.write( " $\"6%2F%28x%2B2%29%2B5%2F%28x-1%29=3x%2F%28x%5E2%2Bx-2%29\"$
\n" ); document.write( ".
\n" ); document.write( " $\"6%2F%28-0.5%2B2%29%2B5%2F%28-0.5-1%29=3%28-0.5%29%2F%28%28-0.5%29%5E2-0.5-2%29\"$
\n" ); document.write( " $\"6%2F1.5%2B5%2F-1.5=%28-1.5%29%2F-2.25\"$
\n" ); document.write( " $\"4-3.33=0.67\"$
\n" ); document.write( " $\"0.67=0.67\"$
\n" ); document.write( " \n" ); document.write( "

\n" );