Question 186494
{{{y=(2x-3)/(3x+5)}}} Start with the given equation.



{{{y(3x+5)=2x-3}}} Multiply both sides by {{{3x+5}}}.



{{{3xy+5y=2x-3}}} Distribute.



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



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



{{{x(3y-2)=-3-5y}}} Factor out the GCF "x" from the left side.



{{{x=(-3-5y)/(3y-2)}}} Divide both sides by {{{3y-2}}}.



So the answer is {{{x=(-3-5y)/(3y-2)}}}