document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=215929>Question 215929</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618044302/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find a number that is 68 greater than three times its opposite </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #163161 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=163161\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find a number that is 68 greater than three times its opposite.<br><BR>\n" );
document.write( "Let x = \"a number\".<BR>\n" );
document.write( "then the opposite of that number = -x<BR>\n" );
document.write( "and three times the opposite = 3(-x) = -3x<BR>\n" );
document.write( "Now we do a \"translation\" of \"a number is 68 greater than three times its opposite\". When doing a translation from English to Algebra, forms of the verb \"to be\" (is, are, was, were, etc.) translate into equal signs.<BR>\n" );
document.write( "\"a number is 68 greater than three times its opposite\"<BR>\n" );
document.write( "    x     =  68    +               (-3x)<BR>\n" );
document.write( "Now we have an equation we can solve. As usual there are many ways to solve this. One way would be: Add 3x to both sides:<BR>\n" );
document.write( "x + 3x = 68 + (-3x) + 3x<BR>\n" );
document.write( "Add like terms:<BR>\n" );
document.write( "4x = 68 + 0<BR>\n" );
document.write( "4x = 68<BR>\n" );
document.write( "Divide both sides by 4:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%29%2F4+=+%2868%29%2F4 ALIGN=MIDDLE  ALT=\"%284x%29%2F4+=+%2868%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cancel common factors<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2Ax%29%2F%284%2A1%29+=+%2817%2A4%29%2F%284%2A1%29 ALIGN=MIDDLE  ALT=\"%284%2Ax%29%2F%284%2A1%29+=+%2817%2A4%29%2F%284%2A1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%284%29%2Ax%29%2F%28cross%284%29%2A1%29+=+%2817%2Across%284%29%29%2F%28cross%284%29%2A1%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "leaving<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F1+=+17%2F1 ALIGN=MIDDLE  ALT=\"x%2F1+=+17%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplifying we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+17 ALIGN=MIDDLE  ALT=\"x+=+17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );