Evaluate the expression described below if the variable given is 9 two times the difference of one-third of a number and three

The expression two times the difference of one-third of a number and three is 9 is equivalent to

9 = 2[(1/3)x - 3]
Evaluate this expression by distributing 2 to both terms
9 = 2x/3 - 6
Add 6 to both sides to eliminate 6 on the right side
9 + 6 = 2x/3 - 6 + 6
15 = 2x/3
Multiply 3 to both sides to eliminate the denominator three
15*3 = (2x/3)*3
45 = 2x
And then divide the term by 2
x = 45/2
x = 22.5