96:x+27=33

To solve the equation \( 96 : x + 27 = 33 \), we first rewrite it in a more standard form. The colon represents division, so we have:

\[ \frac{96}{x} + 27 = 33 \]

Next, we isolate the fraction by subtracting 27 from both sides:

\[ \frac{96}{x} = 33 - 27 \]

This simplifies to:

\[ \frac{96}{x} = 6 \]

Now, we can eliminate the fraction by multiplying both sides by \( x \):

\[ 96 = 6x \]

Next, we solve for \( x \) by dividing both sides by 6:

\[ x = \frac{96}{6} \]

Calculating this gives:

\[ x = 16 \]

So, the solution to the equation is \( x = 16 \).