Four less than two-thirds of a number is equal to twice the number. What is the number

2/3*n-4 = 2*n

subtract 2/3 n from each side

-4 = 2n - 2/3 n

-4 = 6/3 n - 2/3 n

-4 = 4/3 n

multiply by 3/4 on each side

-4 * 3/4 = n

-3 = n

The number is - 3

n = - 3

Step-by-step explanation:

Let the number be n. Then (2/3) n-4 = 2n.

Solve for n. To accomplish this, start by mult. both sides by 3, to remove the fractional coefficient: 2n - 12 = 6 n, or - 12 = 4n. then n = - 3 (answer)