Solve and check the equation.
4) $3(2 x-4)-5=3(x-3)-2$
Final Answer: The solution to the equation is \(\boxed{2}\).
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 \(\boxed{2}\).