What value of x makes this equation true x over 3 mines 3 equal x over 9 plus 3

x/3-3 = x/9+3

add 3 to each side

x/3 = x/9 + 6

subtract x/9 from each side

x/3 - x/9 = 6

get a common denominator

3/3*x/3 - x/9 = 6

3x/9 - x/9 = 6

2x/9 = 6

multiply each side by 9/2

x = 54/2

x=27