# How do you solve 5-2x=3-2x+2?

Jul 20, 2016

$x$ can have ANY value, and the equation will be true..

#### Explanation:

This is a special type of equation called an identity.

If you solve in the normal way we find the following:

$2 x - 2 x = 3 + 2 - 5$

$0 = 0$

Now, while this is a true statement, what does it tell us about $x$?

There is no $x$ term left in the equation.!

It means that the equation will always be true, no matter what value of $x$ you choose. $x$ can have ANY value and the left and the right sides will always be equal.

Sometimes you will have a similar looking equation which leads toa FALSE statement without an $x$. Then the opposite is true, There is NO value of $x$ which will make the equation true.