document.write( "Question 99480: Tutor, \r
\n" ); document.write( "\n" ); document.write( "Could I get some help with this problem? I am having difficulty solving it. \r
\n" ); document.write( "\n" ); document.write( "x/5x + 10 + x-3/x+2 = 7/5\r
\n" ); document.write( "\n" ); document.write( "Thank you for your help. \n" ); document.write( "
Algebra.Com's Answer #72460 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
\"x%2F%28%285x+%2B+10%29%29\" + \"%28%28x-3%29%29%2F%28%28x%2B2%29%29\" = \"7%2F5\"
\n" ); document.write( ":
\n" ); document.write( "factor out 5 in the 1st denominator:
\n" ); document.write( "\"x%2F%285%28x+%2B+2%29%29\" + \"%28%28x-3%29%29%2F%28%28x%2B2%29%29\" = \"7%2F5\"
\n" ); document.write( ":
\n" ); document.write( "Multiply equation by 5(x+2), and eliminate the denominators, leaving us with:
\n" ); document.write( "x + 5(x-3) = 7(x+2)
\n" ); document.write( ":
\n" ); document.write( "x + 5x - 15 = 7x + 14
\n" ); document.write( "x + 5x - 7x = 14 + 15
\n" ); document.write( "-x = +29
\n" ); document.write( "x = -29
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution, substitute -29 for x in the original equation:
\n" ); document.write( "\"%28-29%29%2F%28%285%28-29%29+%2B+10%29%29\" + \"%28%28%28-29%29-3%29%29%2F%28%28%28-29%29%2B2%29%29\" = \"7%2F5\"
\n" ); document.write( "\"%28-29%29%2F%28%28-145+%2B+10%29%29\" + \"%28%28-32%29%29%2F%28%28-27%29%29\" = \"7%2F5\"
\n" ); document.write( "\"%28-29%29%2F%28%28-135%29%29\" + \"%28%28-32%29%29%2F%28%28-27%29%29\" = \"7%2F5\"
\n" ); document.write( "Check using decimals
\n" ); document.write( " +.2148 + 1.1852 = 1.4 which is 7/5\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );