5/x+4=8/2X-1 CПАСИБО

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 

[latex] \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 \\ \\ [/latex] проверка:  [latex]\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} [/latex] Ответ: х=18,5