3-5/3x=18 x=__

1 answer

To solve the equation \( \frac{3 - 5}{3x} = 18 \), we first simplify the left side.

\[ 3 - 5 = -2 \]

So the equation becomes:

\[ \frac{-2}{3x} = 18 \]

Next, we can cross-multiply to eliminate the fraction:

\[ -2 = 18 \cdot 3x \]

This simplifies to:

\[ -2 = 54x \]

Now, we can isolate \( x \) by dividing both sides by 54:

\[ x = \frac{-2}{54} \]

Simplifying further:

\[ x = \frac{-1}{27} \]

Thus, the final answer is:

\[ x = -\frac{1}{27} \]