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Answer:
x = 2/3
Step-by-step explanation:
We add 1/2 to both sides to get
(3x)/2 = 1/3 + x/4 + 1/2
The lcm of 3 and 2 is 6. We get the following
(3x)/2 = 2/6 + 3/6 + x/4
We combine like fractions to get
(3x)/2 = 5/6 + x/4
To get rid of all fractions, we can multiply each side by 6 to get
(3x)3 = 5 + (3/2)x
We distribute into the parenthesis on the LHS (Left Hand Side) to get
9x = 5 +(3/2)x
We can see that
x = 2/3
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