Question

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

Answer 1

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

Answer 2

Answer:

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)