SOLUTION: y=2x-3/3x+5 solve for x Can you please show me the steps to work this problem? Thank you

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Question 186494: y=2x-3/3x+5
solve for x
Can you please show me the steps to work this problem?
Thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
y=%282x-3%29%2F%283x%2B5%29 Start with the given equation.


y%283x%2B5%29=2x-3 Multiply both sides by 3x%2B5.


3xy%2B5y=2x-3 Distribute.


3xy%2B5y-2x=-3 Subtract 2x from both sides.


3xy-2x=-3-5y Subtract 5y from both sides.


x%283y-2%29=-3-5y Factor out the GCF "x" from the left side.


x=%28-3-5y%29%2F%283y-2%29 Divide both sides by 3y-2.


So the answer is x=%28-3-5y%29%2F%283y-2%29