If 2 x + 10 = 8 x , then the value of x is Options: A . &nbsp − 40 3 B . &nbsp 3 C . &nbsp -40 D . &nbsp 40 3

Answer: Option A : A 2 x + 10 = 8 x ⇒ 2 x = 8 × ( x + 10 ) ⇒ x = 4 × ( x + 10 ) ⇒ x = 4 x + 40 ⇒ − 40 = 4 x − x ⇒ − 40 = 3 x ⇒ x = − 40 3

If 2x+10=8x, then the value of x is

Question

If $\frac{2}{x + 10} = \frac{8}{x}$ , then the value of x is

Options:

A .

\frac{- 40}{3}

B . 3

C . -40

D .

\frac{40}{3}

Answer: Option A
:
A

$\frac{2}{x + 10} = \frac{8}{x} \Rightarrow 2 x = 8 \times (x + 10) \Rightarrow x = 4 \times (x + 10) \Rightarrow x = 4 x + 40 \Rightarrow - 40 = 4 x - x \Rightarrow - 40 = 3 x \Rightarrow x = \frac{- 40}{3}$

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