Question

5/x+4=8/2X-1 CПАСИБО

Answer 1

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 

Answer 2

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


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