How do you solve 2x+9=2x-9?

Nov 26, 2016

The null set or $x = \left\{\emptyset\right\}$

Explanation:

First, subtract $9$ from each side of the equation:

$2 x + 9 - 9 = 2 x - 9 - 9$

$2 x + 0 = 2 x - 18$

$2 x = 2 x - 18$

Next, subtract $2 x$ from each side:

$2 x - 2 x = 2 x - 18 - 2 x$

$0 = 0 - 18$

$0 = 18$

Because $0$ does not equal $18$ the solution to this problem is the null set or $x = \emptyset$