Question 243755
{{{5/(7x-3)=3/(4x-5)}}} Start with the given equation.



{{{5(4x-5)=3(7x-3)}}} Cross multiply



{{{20x-25=21x-9}}} Distribute.



{{{20x=21x-9+25}}} Add {{{25}}} to both sides.



{{{20x-21x=-9+25}}} Subtract {{{21x}}} from both sides.



{{{-x=-9+25}}} Combine like terms on the left side.



{{{-x=16}}} Combine like terms on the right side.



{{{x=(16)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{x}}}.



{{{x=-16}}} Reduce.



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Answer:


So the solution is {{{x=-16}}}