document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85118>Question 85118</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/06181638322/algebrahomeworkh>Algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"4%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"3%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61672 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=61672\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Cross-multiply:<BR>\n" );
document.write( "4(x - 2) = 3(x + 1)<BR>\n" );
document.write( "Distribute:<BR>\n" );
document.write( "4x - 8 = 3x + 3<BR>\n" );
document.write( "Get variables to one side and constants to the other:<BR>\n" );
document.write( "4x - 3x = 3 + 8 [subtract 3x from both sides and add 8 to both sides]<BR>\n" );
document.write( "Simplify:<BR>\n" );
document.write( "x = 11 [potentially]<BR>\n" );
document.write( "Check for extraneous solutions [denominaotrs can't = 0]:<BR>\n" );
document.write( "x + 1 = 11 + 1 = 12 ; this is not = 0<BR>\n" );
document.write( "x - 2 = 11 - 2 = 9 ; this is not = 0<BR>\n" );
document.write( "x = 11 is a valid solution </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );