320:(52-X)=8

To solve the equation \( 320:(52-X)=8 \), we can first rewrite the division as multiplication:

\[ \frac{320}{(52 - X)} = 8 \]

Next, we can cross-multiply:

\[ 320 = 8(52 - X) \]

Now, distribute the 8 on the right side:

\[ 320 = 416 - 8X \]

Next, we can isolate the \( 8X \) term by moving it to the left side and the constant term to the right side:

\[ 8X = 416 - 320 \]

Simplifying the right side gives:

\[ 8X = 96 \]

Now, divide both sides by 8 to solve for \( X \):

\[ X = \frac{96}{8} = 12 \]

Thus, the solution is:

\[ X = 12 \]