When 3 is subtracted from a certain number and the result multiple by 5 the result is the same as when 3 is added to twice the number find the number

1 answer

Let's use algebra to solve the problem.

Let the number be represented by "x".

According to the problem, when 3 is subtracted from the number and the result is multiplied by 5, we have:

5(x - 3)

And, when 3 is added to twice the number, we have:

2x + 3

We can set up an equation using these two expressions:

5(x - 3) = 2x + 3

Now, let's solve for x.

Expanding the left side of the equation:

5x - 15 = 2x + 3

Bringing the x terms to one side of the equation and the constant terms to the other side:

5x - 2x = 3 + 15

3x = 18

Dividing both sides of the equation by 3:

x = 6

Therefore, the number is 6.