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