Tierra, Nico, and Alex had $865 altogether. Tierra spent 2/5 of her money. Nico spent $40,and Alex spent twice as much as Tierra. If the three had the same amount of money left, how much money did alex have in the begging?

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Let's solve this step by step:

Let's assume that Alex had initially x dollars.

- Tierra spent 2/5 of her money, so she had 3/5 remaining.
- Nico spent $40, so he had (x - $40) remaining.
- Alex spent twice as much as Tierra, so he spent 2 * (3/5) * x = 6/5 * x.

Since they all had the same amount of money left, we can set up an equation:

3/5 * x = (x - $40) = 6/5 * x

To solve this equation, we need to find a common denominator:

Multiply both sides by 5 to get:

3x = 5(x - $40) = 6x

Next, simplify:

3x = 5x - $200 = 6x

Subtract 5x from both sides:

3x - 5x = - $200

Combine like terms:

-2x = - $200

Divide both sides by -2:

x = - $200 / -2

Simplifying further:

x = $100

Therefore, Alex had $100 in the beginning.