document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=269235>Question 269235</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write inequality, solve problem, check solution.             \r<BR>\n" );
document.write( "\n" );
document.write( "three times the sum of a number and seven is greater than five times the number minus 13<BR>\n" );
document.write( "3(x)+7>5(x)-13  (is this right)  How do I solve? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #197316 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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=197316\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write inequality, solve problem, check solution. <BR>\n" );
document.write( "three times the sum of a number and seven is greater than five times the number minus 13<BR>\n" );
document.write( "3(x)+7>5(x)-13 (is this right) How do I solve?\r<BR>\n" );
document.write( "\n" );
document.write( "Not quite right :)\r<BR>\n" );
document.write( "\n" );
document.write( "3(x+7) > 5x - 13\r<BR>\n" );
document.write( "\n" );
document.write( "Expanding we have:\r<BR>\n" );
document.write( "\n" );
document.write( "3x + 21 > 5x - 13\r<BR>\n" );
document.write( "\n" );
document.write( "Substract 3x from both sides:\r<BR>\n" );
document.write( "\n" );
document.write( "3x - 3x + 21 > 5x - 3x - 13\r<BR>\n" );
document.write( "\n" );
document.write( "21 > 2x - 13\r<BR>\n" );
document.write( "\n" );
document.write( "Add 13 to both sides:\r<BR>\n" );
document.write( "\n" );
document.write( "21 + 13 > 2x - 13 + 13\r<BR>\n" );
document.write( "\n" );
document.write( "34 > 2x\r<BR>\n" );
document.write( "\n" );
document.write( "Divide both sides by 2:\r<BR>\n" );
document.write( "\n" );
document.write( "34/2 > x \r<BR>\n" );
document.write( "\n" );
document.write( "x < 17 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );