document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85331>Question 85331</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve.     10(–x – 7) + 20 = –5(2x + 4)<BR>\n" );
document.write( "Here is what I ahve<BR>\n" );
document.write( "10(-7 + -1x) + 20 = -5(2x + 4)<BR>\n" );
document.write( "(-7 * 10 + -1x * 10) + 20 = -5(2x + 4)<BR>\n" );
document.write( "(-70 + -10x) + 20 = -5(2x + 4)<BR>\n" );
document.write( "-70 + 20 + -10x = -5(2x + 4)<BR>\n" );
document.write( "-70 + 20 = -50<BR>\n" );
document.write( "-50 + -10x = -5(2x + 4)<BR>\n" );
document.write( "-50 + -10x = -5(4 + 2x)<BR>\n" );
document.write( "-50 + -10x = (4 * -5 + 2x * -5)<BR>\n" );
document.write( "-50 + -10x = (-20 + -10x)<BR>\n" );
document.write( "-50 + -10x + 10x = -20 + -10x + 10x<BR>\n" );
document.write( "-10x + 10x = 0<BR>\n" );
document.write( "-50 + 0 = -20 + -10x + 10x<BR>\n" );
document.write( "-50 = -20 + -10x + 10x<BR>\n" );
document.write( "-10x + 10x = 0<BR>\n" );
document.write( "-50 = -20 + 0<BR>\n" );
document.write( "-50 = -20<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61536 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=61536\">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=10%28-x+-+7%29+%2B+20+=+-5%282x+%2B+4%29 ALIGN=MIDDLE  ALT=\"10%28-x+-+7%29+%2B+20+=+-5%282x+%2B+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10%2Ax+-+10%2A7+%2B+20+=+-5%2A2x+%2B+-5%2A4%29 ALIGN=MIDDLE  ALT=\"-10%2Ax+-+10%2A7+%2B+20+=+-5%2A2x+%2B+-5%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10x+-+70+%2B+20+=+-10x+%2B+-20%29 ALIGN=MIDDLE  ALT=\"-10x+-+70+%2B+20+=+-10x+%2B+-20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10x+%2B10x+-+70+%2B+20+=+cross%28-10x+%2B10x%29+%2B+-20%29 ALIGN=MIDDLE  ALT=\"-10x+%2B10x+-+70+%2B+20+=+cross%28-10x+%2B10x%29+%2B+-20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 10x to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-70%2B20=-20 ALIGN=MIDDLE  ALT=\"-70%2B20=-20\"   DISABLED_style= \"max-width:90%; height:auto;\" > Notice the x terms add to zero\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-50=-20 ALIGN=MIDDLE  ALT=\"-50=-20\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "Since this equation is false no matter what x is equal to (x is not a factor in this equation any more), there are no solutions. Notice if we graph the equations\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=10%28-x+-+7%29+%2B+20 ALIGN=MIDDLE  ALT=\"y=10%28-x+-+7%29+%2B+20\"   DISABLED_style= \"max-width:90%; height:auto;\" > here is the left equation in y form\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-5%282x+%2B+4%29 ALIGN=MIDDLE  ALT=\"y=-5%282x+%2B+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > here is the right equation in y form\r<BR>\n" );
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document.write( "we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+10%28-x+-+7%29+%2B+20%2C-5%282x+%2B+4%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+10%28-x+-+7%29+%2B+20%2C-5%282x+%2B+4%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and here you can clearly see that these two parallel lines will never intersect. Since they never intersect, there are no solutions. </SPAN>\n" );
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