Question 134430
{{{(z-8)/(z+5)=4/7 }}} Start with the given equation


{{{7(z-8)=4(z+5)}}} Cross multiply 




{{{7z-56=4z+20}}} Distribute



{{{7z=4z+20+56}}}Add 56 to both sides



{{{7z-4z=20+56}}} Subtract 4z from both sides



{{{3z=20+56}}} Combine like terms on the left side



{{{3z=76}}} Combine like terms on the right side



{{{z=(76)/(3)}}} Divide both sides by 3 to isolate z




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Answer:

So our answer is {{{z=76/3}}}  (which is approximately {{{z=25.333}}} in decimal form)