Solve and check the equation. 4) $3(2 x-4)-5=3(x-3)-2$

Step 1 ：Distribute the numbers outside the parentheses to the numbers inside the parentheses in the equation $3(2 x-4)-5=3(x-3)-2$.

Step 2 ：Simplify the equation to get $6x - 12 - 5 = 3x - 9 - 2$.

Step 3 ：Further simplify the equation to get $6x - 17 = 3x - 11$.

Step 4 ：Solve the equation to find that $x = 2$.

Step 5 ：Substitute $x = 2$ back into the original equation to check if it is the correct solution.

Step 6 ：Since the left and right sides of the equation are equal when $x = 2$, the solution is correct.

Step 7 ：Final Answer: The solution to the equation is \(\boxed{2}\).