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 \( x = 16 \).