Respuesta :

CSMedrano

Answer:

x=30

Step-by-step explanation:

[tex]\frac{4}{5}=\frac{20}{x-5} \\\\4(x-5)=20*5\\\\4x-20=20(5)\\\\4x=20(5)+20(1)\\\\4x=20(5+1)\\\\4x=20(6)\\\\x=\frac{20(6)}{4} \\\\x=5*6\\\\x=30[/tex]

Itzisabella

[tex] \frac{4}{5} = \frac{20}{(x - 5)} [/tex]

By Cross-multiplication

[tex] \implies4 \times (x - 5) = 20 \times 5[/tex]

[tex] \implies4x - 20 = 100[/tex]

[tex] \implies4x = 100 + 20[/tex]

[tex] \implies4x = 120[/tex]

[tex] \implies \: x = \cancel \frac{120}{4} [/tex]

[tex] \implies \: x = 30[/tex]

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