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To solve for x, we need to isolate the variable on one side of the equation.
Starting with the given equation:
3 - (5/3x) = 18
First, we can multiply both sides of the equation by 3x to remove the denominator:
(3x)(3 - (5/3x)) = (3x)(18)
9x - 5 = 54x
Next, let's move all terms with x to one side and all constant terms to the other side:
9x - 54x = 5
-45x = 5
Now, divide both sides of the equation by -45 to solve for x:
x = 5/(-45)
x = -1/9
Therefore, the solution for x is -1/9.