Question 119832
{{{9/(x-3) = 8/(x+5)}}} Start with the given equation




{{{9(x+5) = 8(x-3)}}} Cross multiply


{{{9x+45=8x-24}}} Distribute



{{{9x=8x-24-45}}}Subtract 45 from both sides



{{{9x-8x=-24-45}}} Subtract 8x from both sides



{{{x=-24-45}}} Combine like terms on the left side



{{{x=-69}}} Combine like terms on the right side


--------------------------------------------------------------

Answer:

So our answer is {{{x=-69}}}