Five times the difference of a number and three is twice the number. What is the number

Let x be the number.

5 (x - 3) = 2x

5x - 15 = 2x

3x = 15

x = 5

5

Step-by-step explanation:

let the number be n then the difference is n - 3 and 5 times the difference is

5 (n - 3) = 2n ← distribute parenthesis on left side

5n - 15 = 2n (subtract 2n from both sides)

3n - 15 = 0 (add 15 to both sides)

3n = 15 (divide both sides by 3)

n = 5

That is the number is 5