Ответ

Автор - Корнелиус
5/ (x+4) = 8/(2x - 1)
5 (2x -  1) = 8(x + 4)
10x - 5 = 8x + 32
10x - 8x = 32 + 5
2x = 37 
x = 37/2 = 18,5 

Ответ

Автор - julyap
 frac{5}{x+4} = frac{8}{2x-1} /*(x+4)(2x-1) \  frac{5(x+4)(2x-1) }{x+4} = frac{8(x+4)(2x-1) }{2x-1}  \ 5(2x-1)=8(x+4)\10x-5=8x+32 \ 10x-8x=32+5 \ 2x=37 \ x= frac{37}{2}  \ x=18.5 \  \


проверка: 

frac{5}{x+4} = frac{8}{2x-1}  \ x=18.5 \  frac{5}{18.5+4} = frac{5}{22.5}= frac{1}{4.5} =1/4.5=1/4 frac{5}{10} =1/4 frac{1}{2} =1/ frac{9}{2} =1* frac{2}{9} = frac{2}{9}  \  \  frac{8}{2*18.5-1} = frac{8}{37-1} = frac{8}{36} = frac{4}{18} = frac{2}{9}  \  \   frac{2}{9} = frac{2}{9}


Ответ: х=18,5


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