Solve the absolune value equation or indicate that the equation has no solution. The solution set is what? |6 x-3|+4=4

Step 1 ：The absolute value equation is \(|6x - 3| + 4 = 4\).

Step 2 ：To solve this equation, we first isolate the absolute value expression on one side of the equation. This gives us \(|6x - 3| = 4 - 4 = 0\).

Step 3 ：The absolute value of a number is always non-negative, so the only way for \(|6x - 3|\) to equal 0 is if \(6x - 3 = 0\).

Step 4 ：We can solve this equation for x to find the solution to the original absolute value equation.

Step 5 ：The solution to the equation is \(x = 1/2\). This is the only value of x that makes the absolute value equation true.

Step 6 ：Final Answer: The solution set is \(\boxed{\{1/2\}}\).