Solve for x : x − 2 3 = 2 x 7 Options: A . &nbsp 7 B . &nbsp -14 C . &nbsp 14 D . &nbsp -7

Answer: Option C : C x − 2 3 = 2 x 7 ⇒ 7 × ( x − 2 ) = 3 × 2 x ⇒ 7 x − 14 = 6 x ⇒ 7 x − 6 x = 14 ⇒ x = 14

Solve for x:x−23=2x7

Question

Solve for $x : \frac{x - 2}{3} = \frac{2 x}{7}$

Options:

A . 7

B . -14

C . 14

D . -7

Answer: Option C
:
C

$\frac{x - 2}{3} = \frac{2 x}{7} \Rightarrow 7 \times (x - 2) = 3 \times 2 x \Rightarrow 7 x - 14 = 6 x \Rightarrow 7 x - 6 x = 14 \Rightarrow x = 14$

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