document.write( "Question 498987: If i take the equation x/3+x/5+x/6+x/4+6=x and simplify it to the point that i have 19x/20+6=x how would i go about solving this the rest of the way? I used the calculator and it gave me the answer but i didn't understand what to do after this point. \n" ); document.write( "
Algebra.Com's Answer #337289 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
your equation is x/3 + x/4 + x/5 + x/6 + 6 = x
\n" ); document.write( "i used a common denominator of 120 to get:
\n" ); document.write( "40x/120 + 30x/120 + 24x/120 + 20x/120 + 6 = x
\n" ); document.write( "combining like terms gets:
\n" ); document.write( "114x/120 + 6 = x
\n" ); document.write( "simplifying gets:
\n" ); document.write( "19x/20 + 6 = x
\n" ); document.write( "this is where you're currently at.
\n" ); document.write( "subtract 19x/20 from both sides of the equation to get:
\n" ); document.write( "6 = x - 19x/20
\n" ); document.write( "x is equivalent to 20x/20 so your equation becomes:
\n" ); document.write( "6 = 20x/20 - 19x/20
\n" ); document.write( "combine like terms to get:
\n" ); document.write( "6 = (20x-19x)/20 which becomes:
\n" ); document.write( "6 = x/20
\n" ); document.write( "multiply both sides of the equation by 20 to gtet:
\n" ); document.write( "x = 120.
\n" ); document.write( "substitute for x in your original equation to get:
\n" ); document.write( "original equation equals:
\n" ); document.write( "x/3+x/5+x/6+x/4+6=x
\n" ); document.write( "after substitution equation becomes:
\n" ); document.write( "120/3 + 120/5 + 120/6 + 120/4 + 6 = 120
\n" ); document.write( "simplify to get:
\n" ); document.write( "40 + 24 + 20 + 30 + 6 = 120
\n" ); document.write( "simplify further to get:
\n" ); document.write( "120 = 120
\n" ); document.write( "this confirms that the value of x is good.\r
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