I think of a number and multiply it by 2, I add 6 to it and then divide by 5. Find the number

1 answer

Let's call the number you're thinking of x.

1. Multiply by 2: 2x
2. Add 6: 2x + 6
3. Divide by 5: (2x + 6)/5

Now we need to solve for x. If this expression is equal to x, then:

x = (2x + 6)/5

To solve for x, we can multiply both sides by 5:

5x = 2x + 6

Next, we can subtract 2x from both sides:

3x = 6

Finally, we can divide by 3:

x = 6/3

x = 2

So the number you were thinking of is 2.