SOLUTION: -23+x=x-23 I need to solve. I think x is 1 so x would equal -23? I can't find an example in the book to help me how to solve this equation.

Algebra ->  Equations -> SOLUTION: -23+x=x-23 I need to solve. I think x is 1 so x would equal -23? I can't find an example in the book to help me how to solve this equation.      Log On


   

Question 72506This question is from textbook Developmental Mathematics
: -23+x=x-23
I need to solve. I think x is 1 so x would equal -23? I can't find an example in the book to help me how to solve this equation. This question is from textbook Developmental Mathematics

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
In this case x can equal anything, lets see why.
-23%2Bx-x=x-x-23Subtract x from both sides, this gets x on one side
-23%2Bcross%28x-x%29=cross%28x-x%29-23 The x's cancel on both sides, so there is no x anymore.
-23=-23Since these 2 are equal, the equality is true.
So it really doesn't matter what x is, it will cancel with the other x, and the equation will still be true. To show this, lets let x=5
-23%2Bhighlight%285%29=highlight%285%29-23
-18=-18
Try x=13
-23%2B13=13-23
-10=-10The equality is still true.