Math for the nerds

Solve for x : 1/(x-1) + x = 1/(x-1) + 1. What is the value of x in this equation?

X =1

Maybe it is x=x ?

My mistake,at first I thought I could merely cancel then I realized that would be division by zero if x equals 1 so idk.

@Passionate_Player is this a question in a test or something?

That was an easy task. Any harder challenge?

@Passionate_Player said in #1:
> Solve for x : 1/(x-1) + x = 1/(x-1) + 1. What is the value of x in this equation?

There is no solution, because x can not be one, and solving the equation, the only value is one, so the solution is empty.

What about this one: 1/x=2/x.

@magicsacrifblunder said in #7:
> There is no solution, because x can not be one, and solving the equation, the only value is one, so the solution is empty.

It never sais you need to calculate both sides to only one value to get the equation.

The = only means both sides have the same value, not that both sides have a solution.

My thoughts on it

@Mr-Hal-9000 said in #9:
> The = only means both sides have the same value,
In order for them to have the same value, they need to have at least some value. Since 1/(1-1)+1 is not defined, neither side assumes any value at 1, and in particular 1 is not a solution.
> not that both sides have a solution.
This doesn't mean anything. A side alone can't have a solution. A solution means a value for x such that both side equal to each other.