document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=31961>Question 31961</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the solution to the problem:<BR>\n" );
document.write( "     |2x + 5| = 3x + 4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #18532 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=18532\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  |2x + 5| = 3x + 4<BR>\n" );
document.write( "to solve these split it in to 2 cases ...case 1. 2x + 5 = positive <BR>\n" );
document.write( "or x>-5/2 = -2.5 ...then<BR>\n" );
document.write( " |2x + 5| = 2x+5=3x + 4<BR>\n" );
document.write( "3x-2x=5-4...or..x=1..now check with case 1.assumption...x>-2.5..it is ok.<BR>\n" );
document.write( "so x=1 is a solution.<BR>\n" );
document.write( "case 2. 2x + 5 = negative ..or..x<-2.5...then<BR>\n" );
document.write( " |2x + 5| = -(2x+5)= 3x + 4<BR>\n" );
document.write( "-2x-5=3x+4...or.....5x=-9...or...x=-9/5=-1.8...now check with case 2.assumption..x<-2.5..it is not compatable.so this is not a solution.\r<BR>\n" );
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document.write( "so only solution is x=1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );