SOLUTION: 1/3(x)+2=5/6(x)+3/2

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: 1/3(x)+2=5/6(x)+3/2      Log On


   

Question 1132055: 1/3(x)+2=5/6(x)+3/2
Found 3 solutions by Boreal, Alan3354, josgarithmetic:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
convert to sixths
(2/6)x+2=(5/6)x+(3/2)
(3/6)x=1/2
x=1, since (3/6) is (1/2) ANSWER
checks with 2 1/3= 14/6

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1/3(x)+2=5/6(x)+3/2
-----------
Your use of parentheses does not resolve the ambiguity.
---
Could be (1/3)x + 2 = (5/6)x + 3/2 -- most likely
Or, 1/(3(x)) + 2 = 5/(6(x)) + 3/2
-----------
But, I spose it's better than no parentheses (but not by much).

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
?
------------------------
1/3(x)+2=5/6(x)+3/2
------------------------
?


1%2F%283x%29%2B2=5%2F%286x%29%2B3%2F2

6x%281%2F%283x%29%2B2%29=6x%285%2F%286x%29%2B3%2F2%29

2%2B12x=5%2B9x

12x-9x=5-2

3x=3

highlight%28x=1%29

-
check:
1%2F3%2B2=5%2F6%2B3%2F2
2%261%2F3=5%2F6%2B9%2F6
2%261%2F3=14%2F6
2%261%2F3=7%2F3
2%261%2F3=2%261%2F3,workscorrectly