SOLUTION: Solve {{{x/3-x/6=2}}}

Algebra ->  Square-cubic-other-roots -> SOLUTION: Solve {{{x/3-x/6=2}}}      Log On


   

Question 117123: Solve

x%2F3-x%2F6=2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F3-x%2F6=2 Start with the given equation


In order to add these fractions, we need to have a common denominator. Notice how the LCM of the denominators 3 and 6 are 6 (note: if you need help with finding the LCM, check out this solver). So we need to get the denominator 3 to 6


%282%2F2%29%28x%2F3%29-x%2F6=2 Multiply x%2F3 by 2%2F2 to get the denominator to 6


2x%2F6-x%2F6=2 Multiply the fractions


Since we have a common denominator, we can combine the fractions


%282x-x%29%2F6=2 Combine the numerators



x%2F6=2 Combine like terms



cross%286%29x%2Fcross%286%29=2%2A6 Multiply both sides by 6


x=12 Multiply


--------------------------------------------------------------
Answer:
So our answer is x=12




Check:

x%2F3-x%2F6=2 Start with the given equation


12%2F3-12%2F6=2 Plug in the solution x=12



4-2=2 Divide


2=2 Divide. Since the two sides of the equation are equal, this verifies our answer.