7308:(m-589)=12

To solve the equation \( 7308:(m-589)=12 \), we can rewrite it in a more standard form:

\[ \frac{7308}{m - 589} = 12 \]

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

\[ 7308 = 12(m - 589) \]

Next, distribute the 12 on the right side:

\[ 7308 = 12m - 7068 \]

Now, to isolate the term with \( m \), add 7068 to both sides:

\[ 7308 + 7068 = 12m \]

\[ 14376 = 12m \]

Now, divide both sides by 12 to solve for \( m \):

\[ m = \frac{14376}{12} \]

Calculating that gives:

\[ m = 1198 \]

So the solution is:

\[ m = 1198 \]