SOLUTION: I cant figure out how to solve ... (x+4)/3x + (x+8)/5x = 2

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Question 115569: I cant figure out how to solve ...
(x+4)/3x + (x+8)/5x = 2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B4%29%2F%283x%29+%2B+%28x%2B8%29%2F%285x%29+=+2 Start with the given expression



Now multiply both sides by the LCD 15x to eliminate every fraction

%2815x%29%28%28x%2B4%29%2F%283x%29+%2B+%28x%2B8%29%2F%285x%29+%29=%2815x%29%28+2%29


5%28x%2B4%29%2B+3%28x%2B8%29=30x Distribute. Since the fractions are gone, we have to keep in mind that x%3C%3E0




5x%2B20%2B3x%2B24=30x Distribute again


8x%2B44=30x Combine like terms on the left side


8x=30x-44Subtract 44 from both sides


8x-30x=-44 Subtract 30x from both sides


-22x=-44 Combine like terms on the left side


x=%28-44%29%2F%28-22%29 Divide both sides by -22 to isolate x



x=2 Divide

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Answer:
So our answer is x=2