267:(180-5х)=72

To solve the equation \( 267:(180-5x) = 72 \), we'll first rewrite it in a more standard form. The notation \( : \) typically means division, so we can rewrite the equation as:

\[ \frac{267}{180 - 5x} = 72 \]

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

\[ 267 = 72(180 - 5x) \]

Expanding the right side:

\[ 267 = 72 \times 180 - 72 \times 5x \]

Calculating \( 72 \times 180 \):

\[ 72 \times 180 = 12960 \]

So the equation now is:

\[ 267 = 12960 - 360x \]

Next, we can isolate the term with \( x \) by subtracting \( 12960 \) from both sides:

\[ 267 - 12960 = -360x \]

This simplifies to:

\[ -12693 = -360x \]

Dividing both sides by \(-360\):

\[ x = \frac{12693}{360} \]

Now simplify the fraction (if necessary):

Calculating \( \frac{12693}{360} \approx 35.25 \).

Thus, the solution to the equation is:

\[ x \approx 35.25 \]