Answer: FALSE.
Step-by-step explanation:
Given the following equation provided in the exercise:
[tex]x-13=x+1[/tex]
You need to solve for the variable "x".
In order to solve for "x" you can folllow the steps shown below:
1. You must apply the Addition property of equality and add 13 to both sides of the equation. Then:
[tex]x-13+(13)=x+1+(13)\\\\x=x+14[/tex]
2. Finally you need to apply the Subtraction property of equality and subtract "x" from both sides of the equation. So you get:
[tex]x-(x)=x+14-(x)\\\\0=14\ (FALSE)[/tex]
Therefore, as you can observe, the given equation has no solutions.
