966:(133+x)=7

To solve the equation \( 966:(133+x) = 7 \), we can interpret the colon \( : \) as division. Therefore, the equation can be rewritten as:

\[ \frac{966}{133+x} = 7 \]

To eliminate the fraction, we can multiply both sides by \( 133 + x \):

\[ 966 = 7(133 + x) \]

Next, we can distribute the 7 on the right side:

\[ 966 = 931 + 7x \]

Now, we can isolate \( 7x \) by subtracting \( 931 \) from both sides:

\[ 966 - 931 = 7x \]

\[ 35 = 7x \]

Now, divide both sides by 7 to solve for \( x \):

\[ x = \frac{35}{7} = 5 \]

Thus, the solution is:

\[ \boxed{5} \]