How do you solve #\frac { 5 } { 3 x + 2 } = \frac { 3 } { 2 x }#?

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Answer 1 · 2017-06-11T22:29:40

#x=6#

Let's start with the original equation:

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

We can use cross multiplication to simplify the equation to get this:

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

Next, we can simplify the right side by using the Distributive Property and multiply out the left side:

#10x=9x+6#

We then move all the #x# terms to the left side by subtracting #9x# from both sides:

#x=6#