Question

you are playing a card game with friends.at one point,you double your score.in the next hand you lose 75 points.you end up with -25 points. how many points did u have before doubling your score

Answer 1

Let x be your initial score.

You double it, so your score becomes 2x.

You lose 75 points, so your score becomes 2x-75

This equals -25, so we have the following equation:

$2x-75=-25 \iff 2x=50 \iff x=25$

In fact, things went like this:

You start with 25 points

You double your score, and you have 50 points

You lose 75 points and end with -25 points.