what is x in this problem 5(x-3)=6(x-4)

5(x - 3)  =  6(x - 4)

Use the distributive property:

5x - 15  =  6x - 24

Get all the x-terms to one side, subtract 5x from both sides:

     -15  =  x - 24

Add 24 to both sides:

       9  =  x