Question 451385
You have the correct answer. Here is how to get it:

9-3(2x-5)=4x-6        , first do the multiplication to get rid of parentheses
                      , here you should know that negative number -3 
                                multiplied with 2x gives -6x
                                multiplied with -5 gives +10
                          negative times negative is positive
                          positive times positive is positive
                          negative times positive is negative
                          positive times negative is negative
9-6x+15  =4x-6       , now combine 9 and 15 on the left side
24-6x    =4x-6       , we can exchange left and right sides,
4x-6     =24-6x      , add 6x to the both sides
4x-6+6x  =24-6x+6x   , combine terms with x on both sides
10x-6    =24         , add 6 to the both sides
10x-6+6  =24+6       , combine numbers on both sides
10x      =30         , divide both sides by 10
10x/10   =30/10      , do division
x        =3          , here is your answer :-)