To solve the equation \( 231 - (x - 6) = \frac{1339}{19} \), follow these steps:

1. Simplify the right-hand side of the equation:
\[
\frac{1339}{19} = 70.47368421052632
\]

2. Rewrite the equation with the simplified value:
\[
231 - (x - 6) = 70.47368421052632
\]

3. Distribute the negative sign inside the parentheses:
\[
231 - x + 6 = 70.47368421052632
\]

4. Combine the constants on the left-hand side:
\[
237 - x = 70.47368421052632
\]

5. Isolate \( x \) by subtracting 237 from both sides:
\[
-x = 70.47368421052632 - 237
\]

6. Simplify the right-hand side:
\[
-x = -166.52631578947368
\]

7. Multiply both sides by -1 to solve for \( x \):
\[
x = 166.52631578947368
\]

So, the solution to the equation is:
\[
x \approx 166.53
\]