document.write( "Question 163362: Please help me solve for x: x/6 +x/12 +x/7 +5 +x/2 +4 =x \r
\n" ); document.write( "\n" ); document.write( "I have tried multiplying the fractions by 48 (the LCD) but I got stuck and the answer I got didn't make sense. Please help me. \n" ); document.write( "
Algebra.Com's Answer #120371 by gonzo(654)\"\" \"About 
You can put this solution on YOUR website!
LCD is not 48.
\n" ); document.write( "it's 84 as far as i can tell.
\n" ); document.write( "that would be 7 * 12.
\n" ); document.write( "your equation is:
\n" ); document.write( "x/6 +x/12 +x/7 +5 +x/2 +4 = x
\n" ); document.write( "multiplying both sides of your equation by 84 gets
\n" ); document.write( "(84*x/6) + (84*x/12) + (84*x/7) + (84*5) + (84*x/2) + (4*84) = (84*x)
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\n" ); document.write( "removing the denominators gets
\n" ); document.write( "14*x + 7*x + 12*x + (84*5) + 42*x + (4*84) = (84*x)
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\n" ); document.write( "multiplying out all factors that can be multiplied out gets
\n" ); document.write( "14*x + 7*x + 12*x + 420 + 42*x + 336 = 84*x
\n" ); document.write( "-----
\n" ); document.write( "combining like terms gets
\n" ); document.write( "75*x + 756 = 84*x
\n" ); document.write( "subtracting 75*x from both sides of the equation gets
\n" ); document.write( "756 = 84*x - 75*x
\n" ); document.write( "which becomes
\n" ); document.write( "756 = 9*x
\n" ); document.write( "which becomes
\n" ); document.write( "84 = x
\n" ); document.write( "which is the same as
\n" ); document.write( "x = 84
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