SOLUTION: First of all would like to thank you for you help,I would like to know is this consider a complex equation or number and how would i solved it algebraically, 5-2/x-6=10-2x/x-6..

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: First of all would like to thank you for you help,I would like to know is this consider a complex equation or number and how would i solved it algebraically, 5-2/x-6=10-2x/x-6..      Log On


   

Question 141499: First of all would like to thank you for you help,I would like to know is this consider a complex equation or number and how would i solved it algebraically,
5-2/x-6=10-2x/x-6..
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
is this considered a complex equation or number and how would i solved it algebraically?
:
It's not a complex equation, or a complex fraction
:
5-%282%2F%28x-6%29%29 = 10-%282x%2F%28x-6%29%29
:
The fractions have the same denominator, combine on the left, numbers on the right
%28-2%2F%28x-6%29%29 + %282x%2F%28x-6%29%29 = 10 - 5
%282x-2%29%2F%28x-6%29 = 5
:
Multiply both sides by (x-6) to get rid of the denominator
2x - 2 = 5(x-6)
:
2x - 2 = 5x - 30
:
-2 + 30 = 5x - 2x
:
28 = 3x
x = 28%2F3; 91%2F3
:
:
Check solution using x = 9.33 on a calc
5-%282%2F%28%289.33-6%29%29%29 = 10-2%289.33%29%2F%28%289.33-6%29%29%29
5-%282%2F%283.33%29%29 = 10-%2818.66%2F%283.33%29%29
5 - .6 = 10 - 5.6; confirms our solution