document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174957>Question 174957</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do i find the value of x in the equation x/2+20=15+x/3? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #130036 by </B><A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><B>Electrified_Levi(103)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><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=130036\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, Hope I can help,<BR>\n" );
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document.write( "how do i find the value of x in the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2F2%2B20=15%2Bx%2F3+ ALIGN=MIDDLE  ALT=\"+x%2F2%2B20=15%2Bx%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ?<BR>\n" );
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document.write( "First of all, we have to get rid of the fractions<BR>\n" );
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document.write( "We have to find a common denominator with the fractions<BR>\n" );
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document.write( "The first fraction, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2F2+ ALIGN=MIDDLE  ALT=\"+x%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, has \"2\" as its denominator<BR>\n" );
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document.write( "The second fraction, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2F3+ ALIGN=MIDDLE  ALT=\"+x%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, has \"3\" as its denominator<BR>\n" );
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document.write( "To find the common denominator, we would just multiply the two denominators together ( since there is no lower denominator we could use )<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%283%29+ ALIGN=MIDDLE  ALT=\"+2%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6+ ALIGN=MIDDLE  ALT=\"+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "\"6\" is the common denominator, now if we multiply the two sides of the equation, it will get rid of the fractions, since they both will cancel out<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2F2%2B20=15%2Bx%2F3+ ALIGN=MIDDLE  ALT=\"+x%2F2%2B20=15%2Bx%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%28x%2F2%2B20%29=6%2815%2Bx%2F3%29+ ALIGN=MIDDLE  ALT=\"+6%28x%2F2%2B20%29=6%2815%2Bx%2F3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We can now use the distributive property,<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%286%29%28highlight%28x%2F2%29%2B20%29=highlight%286%29%28highlight%2815%29%2Bx%2F3%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%286%29%28x%2F2%2Bhighlight%2820%29%29=highlight%286%29%2815%2Bhighlight%28x%2F3%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%28x%2F2%29%2B+6%2820%29=6%2815%29%2B+6%28x%2F3%29+ ALIGN=MIDDLE  ALT=\"+6%28x%2F2%29%2B+6%2820%29=6%2815%29%2B+6%28x%2F3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%28x%2F2%29%2B+6%2820%29=6%2815%29%2B+6%28x%2F3%29+ ALIGN=MIDDLE  ALT=\"+6%28x%2F2%29%2B+6%2820%29=6%2815%29%2B+6%28x%2F3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6x%2F2%2B+120+=+90+%2B+6x%2F3+ ALIGN=MIDDLE  ALT=\"+6x%2F2%2B+120+=+90+%2B+6x%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, now we will simplify even further by dividing<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6x%2F2%2B+120+=+90+%2B+6x%2F3+ ALIGN=MIDDLE  ALT=\"+6x%2F2%2B+120+=+90+%2B+6x%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282%283x%29%29%2F2%2B+120+=+90+%2B+%283%282x%29%29%2F3+ ALIGN=MIDDLE  ALT=\"+%282%283x%29%29%2F2%2B+120+=+90+%2B+%283%282x%29%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28highlight%282%29%283x%29%29%2Fhighlight%282%29%2B+120+=+90+%2B+%28highlight%283%29%282x%29%29%2Fhighlight%283%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28cross%282%29%283x%29%29%2Fcross%282%29%2B+120+=+90+%2B+%28cross%283%29%282x%29%29%2Fcross%283%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+%2B+120+=+90+%2B+2x+ ALIGN=MIDDLE  ALT=\"+3x+%2B+120+=+90+%2B+2x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now all we do is solve for \"x\", we will move \"2x\" to the left side<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+%2B+120+=+90+%2B+2x+ ALIGN=MIDDLE  ALT=\"+3x+%2B+120+=+90+%2B+2x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+-+2x+%2B+120+=+90+%2B+2x+-+2x+ ALIGN=MIDDLE  ALT=\"+3x+-+2x+%2B+120+=+90+%2B+2x+-+2x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+120+=+90+ ALIGN=MIDDLE  ALT=\"+x+%2B+120+=+90+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, now we will move \"120\" to the right side<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+120+=+90+ ALIGN=MIDDLE  ALT=\"+x+%2B+120+=+90+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+120+-+120+=+90+-+120+ ALIGN=MIDDLE  ALT=\"+x+%2B+120+-+120+=+90+-+120+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28-30%29+ ALIGN=MIDDLE  ALT=\"+x+=+%28-30%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28-30%29+ ALIGN=MIDDLE  ALT=\"+x+=+%28-30%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You can check by replacing \"x\" with (-30) in the very original equation<BR>\n" );
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document.write( "replace \"x\" with (-30), <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2F2%2B20=15%2Bx%2F3+ ALIGN=MIDDLE  ALT=\"+x%2F2%2B20=15%2Bx%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-30%29%2F2%2B20=15%2B%28-30%29%2F3+ ALIGN=MIDDLE  ALT=\"+%28-30%29%2F2%2B20=15%2B%28-30%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-15%29%2B20=15+-+30%2F3+ ALIGN=MIDDLE  ALT=\"+%28-15%29%2B20=15+-+30%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-15%29%2B20=15+-+10+ ALIGN=MIDDLE  ALT=\"+%28-15%29%2B20=15+-+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+=+5+ ALIGN=MIDDLE  ALT=\"+5+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( True )<BR>\n" );
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document.write( "You have to be careful with fraction equations, because the denominator of a fraction cannot equal 0, so if one of the answers make a denominator 0, then that answer cannot work<BR>\n" );
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document.write( "We don't have anything to worry about, since there are no \"x\"'s in the denominator<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28-30%29+ ALIGN=MIDDLE  ALT=\"+x+=+%28-30%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope I helped, Levi </SPAN>\n" );
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