document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150824>Question 150824</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve |-10x + 70| = |8x - 74| \r<BR>\n" );
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document.write( "I really have no idea as to how to go about starting this problem.... Please help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110814 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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/cgi-bin/show-face.mpl?user=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=110814\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28-10x%2B70%29=abs%288x-74%29 ALIGN=MIDDLE  ALT=\"abs%28-10x%2B70%29=abs%288x-74%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Absolute value problems are typically two problems in one (positive and negtive solution).<BR>\n" );
document.write( "That's because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%29=x ALIGN=MIDDLE  ALT=\"abs%28x%29=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > if x>0 and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%29=-x ALIGN=MIDDLE  ALT=\"abs%28x%29=-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > if x<0.<BR>\n" );
document.write( "With an absolute value sign on each side, it now becomes 4 equations to solve.\<BR>\n" );
document.write( "1. Positive=Positive<BR>\n" );
document.write( "2. Positive=Negative<BR>\n" );
document.write( "3. Negative=Positive<BR>\n" );
document.write( "4. Negative=Negative<BR>\n" );
document.write( "Luckily, if you look at the equations, 1 and 4 are the same, and 2 and 3 are the same. <BR>\n" );
document.write( "That is, if I multiply both sides of 1 by (-1), I get 4, and the same for 2 and 3.<BR>\n" );
document.write( "So you really only have to solve two equations, we'll call them A and B.<BR>\n" );
document.write( "A.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-10x%2B70%29=%288x-74%29 ALIGN=MIDDLE  ALT=\"%28-10x%2B70%29=%288x-74%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "B.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-10x%2B70%29=-%288x-74%29 ALIGN=MIDDLE  ALT=\"%28-10x%2B70%29=-%288x-74%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's start with A,<BR>\n" );
document.write( "A.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10x%2B70=8x-74 ALIGN=MIDDLE  ALT=\"-10x%2B70=8x-74\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-18x=-144 ALIGN=MIDDLE  ALT=\"-18x=-144\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=8%29 ALIGN=MIDDLE  ALT=\"highlight%28x=8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and then B,<BR>\n" );
document.write( "B.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10x%2B70=-%288x-74%29 ALIGN=MIDDLE  ALT=\"-10x%2B70=-%288x-74%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10x%2B70=-8x%2B74%29 ALIGN=MIDDLE  ALT=\"-10x%2B70=-8x%2B74%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x=4%29 ALIGN=MIDDLE  ALT=\"-2x=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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