SOLUTION: I have drawn a blank on this one, please show the procedure to arrive at an answer. Thank You, Dick x/4 + x/3 + x/5 + 52 = x

Question 11042: I have drawn a blank on this one, please show the procedure to arrive at an answer.
Thank You,
Dick
x/4 + x/3 + x/5 + 52 = x
Answer by kinupanda(9) (Show Source): You can put this solution on YOUR website!
Our problem is:

This looks confusing, but if we rewrite it as such...

... we see that all of the variables are simply x multiplied by a constant. So what we can do is add up the constants and say that they are all multiplied by x, using the associative property. Since they are fractions, we need to give them a common denominator. For 3, 4, and 5, the lowest common denominator is 60. Thus, we need to multiply each fraction by a form of "1" such that each denominator is 60.

... multiply our fractions
... combine like terms
... add
... subtract (47/60)x from both sides
... multiply both sides by (60/13), the reciprocal of (13/60)

52/13 is 4, and 4 times 60 is 240. Thus, our answer is: .

To check, let's plug this value back into our original equation:

... yup!
RELATED QUESTIONS
I just learned this today and not sure how to do this. Please help by showing how to... (answered by jim_thompson5910)

I know I know how to answer this question, but the procedure escapes me for now. Please... (answered by josgarithmetic)

Let f(x)=(7/(x-4). Then according to the definition of derivative, f'(x)= the limit as t... (answered by Fombitz)

Please help me answer and give some explanations as to how to solve this following... (answered by MathLover1)

I'm attempting to help a friend earning her BSN with an equation. I have not done this... (answered by stanbon)

x+1.2=1.6=5.7 I need to show how I arrive at my answer. I am totally confused. I (answered by checkley71)

I need help hope you can on this one....Please help me :) number line starts at --5... (answered by CubeyThePenguin)

can u please help i have went blank and dont even know where to begin with this problem... (answered by rfer)

I am trying to solve for x on this problem, except I keep getting stuck and can not seem... (answered by Alan3354)