Question 349155
8/(x-2) = 4


Multiply both sides by (x - 2).  By doing so, we remove the fraction on 


the left side.  It's easier to work without fractions.


[8/(x-2)]* (x - 2) = 4(x - 2)


8 = 4x - 8


8 + 8 = 4x


16 = 4x


16/4 = x


4 = x


The answer for x is 4.


How do we know this to be true?


We can check by going back to the original equation that was given to you and 


replace x with 4.  Afterward, we simplify the equation.  If we get the same 


answer on both sides of the equation, we will then know for sure that x = 4 is 


right.


THE PROVE:


Let x = 4


8/(x-2) = 4


8/(4 - 2) = 4


8/2 = 4


4 = 4...IT CHECKS!!


This confirms that x = 4 is the right answer.