document.write( "Question 735159: Please solve and give all the steps for this problem:
\n" ); document.write( "(-2x)/(x+2) + (x)/(3) + (4)/(x+2) \n" ); document.write( "

Algebra.Com's Answer #450317 by Susan-math(40) $\"\"$ $\"About$

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Least common denominator is 3(x+2)\r
\n" ); document.write( "\n" ); document.write( "To get that in $\"%28-2x%29%2F%28x%2B2%29\"$ multiply numerator and denominator by 3/3 to get
\n" ); document.write( " $\"3%28-2x%29%2F%283%28x%2B2%29%29=%28-6x%29%2F%283%28x%2B2%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( "For $\"x%2F3\"$ multiply by $\"%28x%2B2%29%2F%28x%2B2%29\"$ and get $\"%28x%28x%2B2%29%29%2F%283%28x%2B2%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( "For $\"4%2F%28x%2B2%29\"$ multiply by 3/3 to get $\"12%2F%283%28x%2B2%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( "So we are adding numerators $\"%28-6x%29+%2B+x%28x%2B2%29+%2B+12+=+-6x+%2Bx%5E2%2B+2x+%2B+12+=+x%5E2-4x%2B12+\"$
\n" ); document.write( "Factor that to get $\"%28x-6%29%28x%2B2%29\"$ \r
\n" ); document.write( "\n" ); document.write( "So we have $\"%28%28x-6%29%28x%2B2%29%29%2F%283%28x%2B2%29%29\"$ which we can reduce by canceling the common factor of (x+2) in the numerator and denominator to get \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-6%29%2F3\"$ \n" ); document.write( "

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