SOLUTION: Please help me solve for x: x/6 +x/12 +x/7 +5 +x/2 +4 =x I have tried multiplying the fractions by 48 (the LCD) but I got stuck and the answer I got didn't make sense. Please h

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Question 163362: Please help me solve for x: x/6 +x/12 +x/7 +5 +x/2 +4 =x
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.
Found 2 solutions by scott8148, gonzo:
Answer by scott8148(6628) (Show Source):
You can put this solution on YOUR website!
the LCD is 6*2*7 or 84 (not 48)

multiplying by LCD __ 14x+7x+12x+420+42x+336=84x __ 75x+756=84x __ 756=9x __ 84=x

Answer by gonzo(654) (Show Source):
You can put this solution on YOUR website!
LCD is not 48.
it's 84 as far as i can tell.
that would be 7 * 12.
your equation is:
x/6 +x/12 +x/7 +5 +x/2 +4 = x
multiplying both sides of your equation by 84 gets
(84*x/6) + (84*x/12) + (84*x/7) + (84*5) + (84*x/2) + (4*84) = (84*x)
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removing the denominators gets
14*x + 7*x + 12*x + (84*5) + 42*x + (4*84) = (84*x)
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multiplying out all factors that can be multiplied out gets
14*x + 7*x + 12*x + 420 + 42*x + 336 = 84*x
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combining like terms gets
75*x + 756 = 84*x
subtracting 75*x from both sides of the equation gets
756 = 84*x - 75*x
which becomes
756 = 9*x
which becomes
84 = x
which is the same as
x = 84
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