SOLUTION: 4/x-4+4/2x-8=6 , I understand that the second fraction can be factored and the equation can be rewritten as 4/x-4+4/2(x-4)=6, After That Step I Don't Understand What To Do To Solve

Algebra ->  Test  -> Lessons -> SOLUTION: 4/x-4+4/2x-8=6 , I understand that the second fraction can be factored and the equation can be rewritten as 4/x-4+4/2(x-4)=6, After That Step I Don't Understand What To Do To Solve      Log On


   

Question 769934: 4/x-4+4/2x-8=6 , I understand that the second fraction can be factored and the equation can be rewritten as 4/x-4+4/2(x-4)=6, After That Step I Don't Understand What To Do To Solve The Full Equation. Help Please
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
After that you could simplify the fraction by dividing numerator and denominator by 2, and then you could add the two fractions, because they end up with the same denominator. Luckily you do not need to work hard to find and use a common denominator.
4%2F%28x-4%29%2B4%2F%282x-8%29=6-->4%2F%28x-4%29%2B4%2F2%28x-4%29=6-->4%2F%28x-4%29%2B2%2F%28x-4%29=6-->6%2F%28x-4%29=6
It is easy to solve after that.
You multiply both sides times %28x-4%29; divide both sides by 6, and add 4 to both sides:
6%2F%28x-4%29=6-->6=6%28x-4%29-->6%2F6=x-4-->x-4=1-->x=1%2B4-->highlight%28x=5%29

NOTE:
If you need to write 4%2F%28x-4%29%2B4%2F%282x-8%29=6 on just one line, you need parentheses:
4/(x-4)+4/(2x-8)=6 means 4%2F%28x-4%29%2B4%2F%282x-8%29=6
4/x-4 means 4%2Fx-4 (order of operation convention says you do division before subtraction)
Those long horisontal fraction lines in expressions like
%28x%5E2-2x-8%29%2F%28x-4%29= (x^2-2x-8)/(x-4) include sets of invisible parentheses wrapping what's above the line and what's below the line the line