SOLUTION: Find the value of x x+2 over x-4 = 7 0ver 4

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Question 58833: Find the value of x
x+2 over x-4 = 7 0ver 4
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Find the value of x
%28x%2B2%29%2F%28x-4%29=7%2F4 First observe, that your solution cannot=4, or the denominator will be zero and the rational expression will be undefined.
The LCD is 4(x-4), multiply both sides by the LCD.
4%28x-4%29%28x%2B2%29%2F%28x-4%29=4%28x-4%29%287%29%2F4

4%28x%2B2%29=7%28x-4%29
4x%2B8=7x-28
-4x%2B4x%2B8=-4x%2B7x-28
8=3x-28
8%2B28=3x-28%2B28
36=3x
36%2F3=3x%2F3
12=x
highlight%28x=12%29
Happy Calculating!!!