document.write( "Question 66393: Solve:\r
\n" ); document.write( "\n" ); document.write( " X x-3 7
\n" ); document.write( "------ + ------ = ---
\n" ); document.write( " 5x+10 x+2 5\r
\n" ); document.write( "\n" ); document.write( "DO I need to just figure out what x equals to figure get the 7/5? If so how do I go about this because it could be many different solutions. Thank you \n" ); document.write( "
Algebra.Com's Answer #47110 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Solve:
\n" ); document.write( "\"%28x%2F%285x%2B10%29%29+%2B+%28x-3%29%2F%28x%2B2%29+=+7%2F5\" Multiply the second fraction by \"5%2F5\" to get the fractions over a common denominator.
\n" ); document.write( "\"x%2F%285x%2B10%29+%2B+5%28x-3%29%2F5%28x%2B2%29+=+7%2F5\" Simplify.
\n" ); document.write( "\"x%2F%285x%2B10%29+%2B+%285x-15%29%2F%285x%2B10%29+=+7%2F5\" Simplify.
\n" ); document.write( "\"%286x-15%29%2F%285x%2B10%29+=+7%2F5\" Factor 5 in the denominator.
\n" ); document.write( "\"%286x-15%29%2F5%28x%2B2%29+=+7%2F5\" Multiply both sides by 5.
\n" ); document.write( "\"%286x-15%29%2F%28x%2B2%29+=+7\" Multiply both sides by (x+2)
\n" ); document.write( "\"6x-15+=+7%28x%2B2%29\" Simplify.
\n" ); document.write( "\"6x-15+=+7x%2B14\" Subtract 6x from both sides.
\n" ); document.write( "\"-15+=+x%2B14\" Subtract 14 from both sides.
\n" ); document.write( "\"-29+=+x\" or \"x+=+-29\"\r
\n" ); document.write( "\n" ); document.write( "Check: Substitute x = -29.
\n" ); document.write( " Simplify.
\n" ); document.write( "\"%28-29%2F%28-145%2B10%29%29+%2B+%28-32%29%2F%28-27%29\"
\n" ); document.write( "\"%28%28-29%29%2F%28-135%29%29+%2B+%28-32%29%2F%28-27%29\" Multiply the second fraction by \"5%2F5\" and drop the negative signs.
\n" ); document.write( "\"%2829%29%2F%28135%29+%2B+%28160%29%2F%28135%29\" Add the fractions.
\n" ); document.write( "\"189%2F135\" Reduce to simplest form.
\n" ); document.write( "\"189%2F135+=+7%2827%29%2F5%2827%29\" = \"7%2F5\" \n" ); document.write( "
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