Answer: x = 1/6
Explanation:
The answer is x = 1/6. To solve this equation, we can first subtract 1/9 from both sides, giving us:
(1/243)-x/3 - (1/9) = (1/9) - x/2.
Then, we can subtract x/3 from both sides, giving us:
(1/243) - (2x/3) = (1/9) - x/2.
Now we can combine the fractions on the left side by multiplying the denominator, which is 243, by 2, giving us:
(2/486) - x = (1/9) - x/2.
Next, we can subtract x from both sides and add x/2 to both sides, giving us:
(2/486) = (1/6) - x/2.
Finally, we can solve for x by dividing both sides by -1/2, giving us x = 1/6.