Five less than one-third of a number is the same as twice the number.

x = 15 / 7

Step-by-step explanation:

Let the number = x

1/3x - 5 = 2x Multiply both sides by 3

1*x - 5*3 = 2x*3 Expand and collect like terms.

x - 15 = 6x Subtract x from both sides

x - x - 15 = 6x-x Collect like terms

- 15 = 5x Divide both sides by 5

-15/5 = 5x/5 do the Division

- 3 = x

Check

1/3 (-3) - 5 = 2 (-3)

-1 - 5 = - 6

- 6 = - 6

which checks.