<PRE><B>Question 127152</B>


{{{(x-5)/(x+4)=(4)/(7)}}} Start with the given expression


{{{(x-5)(7)=(4)(x+4)}}} Cross multiply



{{{7x-35=4x+16}}} Distribute


{{{7x=4x+16+35}}}Add 35 to both sides



{{{7x-4x=16+35}}} Subtract 4x from both sides



{{{3x=16+35}}} Combine like terms on the left side



{{{3x=51}}} Combine like terms on the right side



{{{x=(51)/(3)}}} Divide both sides by 3 to isolate x




{{{x=17}}} Divide


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Answer:

So our answer is {{{x=17}}} 


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