document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85440>Question 85440</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve.  Express your answer in simplest form.\r<BR>\n" );
document.write( "\n" );
document.write( "x/5x+10 + x-3/x+2 = 7/5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61626 by </B><A HREF=/tutors/aboutme.mpl?userid=scianci><B>scianci(186)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scianci><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=61626\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Multiply everything by the LCD of the fractions, which is 5(x + 2)  [put the 5x + 10 in factored form to make it easier]:\r<BR>\n" );
document.write( "\n" );
document.write( "5(x + 2)(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%285x+%2B+10%29 ALIGN=MIDDLE  ALT=\"x%2F%285x+%2B+10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+3%29%2F%28x+%2B+2%29 ALIGN=MIDDLE  ALT=\"%28x+-+3%29%2F%28x+%2B+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F5 ALIGN=MIDDLE  ALT=\"7%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "The denominators of each fraction now cancel out:\r<BR>\n" );
document.write( "\n" );
document.write( "x + 5(x - 3) = 7(x + 2)\r<BR>\n" );
document.write( "\n" );
document.write( "Apply the distributive property:\r<BR>\n" );
document.write( "\n" );
document.write( "x + 5x - 15 = 7x + 14\r<BR>\n" );
document.write( "\n" );
document.write( "Combine like terms:\r<BR>\n" );
document.write( "\n" );
document.write( "6x - 15 = 7x + 14\r<BR>\n" );
document.write( "\n" );
document.write( "Get variables to one side and constants to the other side:\r<BR>\n" );
document.write( "\n" );
document.write( "6x - 7x = 14 + 15  [subtract 7x from both sides and add 15 to both sides]\r<BR>\n" );
document.write( "\n" );
document.write( "-x = 29\r<BR>\n" );
document.write( "\n" );
document.write( "Divide both sides by -1:\r<BR>\n" );
document.write( "\n" );
document.write( "x = -29\r<BR>\n" );
document.write( "\n" );
document.write( "Check for extraneous solutions [denominaotrs can't = 0]:\r<BR>\n" );
document.write( "\n" );
document.write( "x + 2 = -29 + 2 = -27. Since this isn't = 0, the solution x = -29 is good </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );