Five times the sum of a number and 3 is the same as 3 times the difference of twice the number and 1. What is the number?

Respuesta :

The number is 18.

In order to find this, we need to take each side and turn them into mathematics statements.

Five times the sum of a number and 3.

5(x + 3)

3 times the difference of twice the number and 1

3(2x - 1)

Now that we have these, we can set them equal to each other and solve.

5(x + 3) = 3(2x - 1) ----> Distribute

5x + 15 = 6x - 3 -----> Subtract 5x from both sides

15 = x - 3 -----> Add 3 to both sides

18 = x