Solve the equation. \[ |8-3 x|=3 \]

Step 1 ：Given the absolute value equation \(|8-3x|=3\).

Step 2 ：We can solve this equation by setting up two separate equations. One for the positive value and one for the negative value.

Step 3 ：The two equations are: \(8 - 3x = 3\) and \(8 - 3x = -3\).

Step 4 ：Solving the first equation, we subtract 8 from both sides to get \(-3x = -5\), then divide both sides by -3 to get \(x = \frac{5}{3}\).

Step 5 ：Solving the second equation, we subtract 8 from both sides to get \(-3x = -11\), then divide both sides by -3 to get \(x = \frac{11}{3}\).

Step 6 ：The solutions to the equation are \(\boxed{\frac{5}{3}}\) and \(\boxed{\frac{11}{3}}\).