How do you solve #5/(2x-3) = 3/(x+5)#?

1 Answer
V
Jul 9, 2016

The answer to the value of x is 34.

Explanation:

First, you need to multiply both sides by their corresponding denominator to themselves.
#(2x+3)(x+5)[5/(2x+3)] = [3/(x+5)] (2x+3)(x+5)#

Simplify both of them
# [[(2x+3)(x+5)(5)}/(2x+3)] = [[(3)(2x+3)(x+5)]/(x+5)]#

In the first solution, you can easily divide 2x+3 to the denominator, 2x+3 and in the second solution, x+5 could be easily divide to the denominator, resulting to this

#5(x+5)=3(2x-3)#

Multiply 5 to x+5 and 3 to 2x-3 to get a product of

#5x+25=6x-9#

Transpose 5x to the other equation

#5x+25-5x=6x-9-5x#

#25=6x-5x-9#

Now, transpose -9 to the other equation

#25+9=6x-5x-9+9#

#25+9=6x-5x#

Now, simplify the given terms

#25+9=6x-5x#

#34=x#

That's why the value of x is equals to 34

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