SOLUTION: (3/5x -20)=(x-20)2/5

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Question 1140060: (3/5x -20)=(x-20)2/5
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
I assume you mean %283%2F5%29x-20=%28x-20%292%2F5 , which I would write as
(3/5)x-20=(x-20)2/5 or 3/5)x-20=(x-20)(2/5) to avoid confusion.

The expression (3/5x -20) , means the same with or without parentheses. Those parentheses are not necessary.
To mean %283%2F5%29x I would write is as (3/5)x, because sometimes 3/5x is interpreted as 3%2F%225+x%22 or 3%2F5x .
(The lack of any symbol or space between a number or variable is interpreted as if their product is in parentheses).

Multiplying times 5, both sides of %283%2F5%29x-20=%28x-20%292%2F5 , we get the equivalent equations
5%2A%28%283%2F5%29x-20%29=5%2A%28x-20%292%2F5 ,
5%2A%283%2F5%29x-5%2A20=%28x-20%29%2A2 ,
3x-100=2x-2%2A20, and
3x-100=2x-40
Then, adding 100-2x to both sides, we get the equivalent equations
100-2x%2B3x-100=100-2x%2B2x-40 ,
3x-2x=100-40%2C+and%0D%0A%7B%7B%7Bhighlight%28x=60%29 .

I hope you did not mean
3%2F%225+x%22-20=%28x-20%292%2F5 , because that ends up being an uglier quadratic equation, with two ugly solutions.