SOLUTION: Please help me solve for x in the following equation: 1/4x + 1/6 = 1/3(x-4) I do know that x= 18 but I am unaware of how to receive that answer.

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Please help me solve for x in the following equation: 1/4x + 1/6 = 1/3(x-4) I do know that x= 18 but I am unaware of how to receive that answer.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 646331: Please help me solve for x in the following equation: 1/4x + 1/6 = 1/3(x-4) I do know that x= 18 but I am unaware of how to receive that answer.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume the problem is:
1%2F4x + 1%2F6 = 1%2F3(x-4)
get rid of the denominators, least common multiple is 12, mult by 12
12*1%2F4x + 12*1%2F6 = 12*1%2F3(x-4)
cancel out the denominators and you have
3x + 2 = 4(x-4)
3x + 2 = 4x - 16
2 + 16 = 4x - 3x
18 = x
:
How about this? Did this make sense to you?