144:(x-3)=36

To solve the equation \(144:(x-3)=36\), we can rewrite it in a more standard mathematical form:

\[ \frac{144}{x-3} = 36 \]

Next, we cross-multiply to eliminate the fraction:

\[ 144 = 36(x - 3) \]

Now, we distribute \(36\) on the right side:

\[ 144 = 36x - 108 \]

Next, we add \(108\) to both sides of the equation:

\[ 144 + 108 = 36x \]

\[ 252 = 36x \]

Now, divide both sides by \(36\) to solve for \(x\):

\[ x = \frac{252}{36} \]

\[ x = 7 \]

Thus, the solution to the equation is

\[ \boxed{7} \]