Question

if 2x+4/x-5=4 then x=​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

$\large \bold{ \frac{ \: \: 2x + 4 \: \: }{x - 5}} = 4$

cross multiplication

$\implies \bold{2x + 4 = 4(x - 5) }$

$\implies \bold{2x + 4 = 4(x) - 4(5)}$

$\implies \bold{2x + 4 = 4x - 20}$

take 2x + 4 to the opposite side

$\implies \bold{4x - 20 - (2x + 4) = 0}$

$\implies \bold{4x - 20 - 2x - 4 = 0}$

arrange the like terms

$\implies \bold{4x - 2x - 20 - 4 = 0}$

$\implies \bold{2x - 24 = 0}$

take 24 to the opposite side

$\implies \bold{2x = 24}$

$\implies \bold{x = \frac{24}{2}}$

$\implies \tt \bold { \red{x} = \purple{12}}$

is the answer.