Question 173967
{{{24/(x-3) = 72/(x+3)}}} Start with the given equation 



{{{24(x+3)= 72(x-3)}}} Cross Multiply



{{{24x+72=72x-216}}} Distribute.



{{{24x=72x-216-72}}} Subtract {{{72}}} from both sides.



{{{24x-72x=-216-72}}} Subtract {{{72x}}} from both sides.



{{{-48x=-216-72}}} Combine like terms on the left side.



{{{-48x=-288}}} Combine like terms on the right side.



{{{x=(-288)/(-48)}}} Divide both sides by {{{-48}}} to isolate {{{x}}}.



{{{x=6}}} Reduce.



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Answer:


So the answer is {{{x=6}}}