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

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)
-----
removing the denominators gets
14*x + 7*x + 12*x + (84*5) + 42*x + (4*84) = (84*x)
-----
multiplying out all factors that can be multiplied out gets
14*x + 7*x + 12*x + 420 + 42*x + 336 = 84*x
-----
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
-----
RELATED QUESTIONS
Solving rational equations. There are two fractions on one side of the equal sign, one... (answered by jsmallt9,mananth)
I'm just stuck on this easy question. I know I just use the LCD; but I keep getting... (answered by elima)
Solve for x: 24/8x - x/3 = 3-x/6. I have tried multiplying by the lcd, I have... (answered by scott8148)
(2/x+5 + 4/x+3) / (3x+13/x^2+8x+15) I tried multiplying by the reciprocal rule, but I... (answered by vleith)
Can you please help me answer this question? I tried cross multiplying, but the answer I (answered by venugopalramana)
If you could please help point me in the right direction!!! I need to solve this rational (answered by Mathtut,solver91311)
Please help Solve for x and y 4x-7y=8 3x-8y=5 I tried doing the elimination method by (answered by elima)
I can not figure out this problem. x-5 over x+4 equals x-4 over x+6 solve for x. x-5 (answered by solver91311)
I can not figure out this problem. x-5 over x+4 equals x-4 over x+6 solve for x. x-5 (answered by Alan3354)