Question

Solve the equation:
$\frac{x-3}{5}-2=\frac{2x}{5}$.

• A. $13$
• B. $-13$
• C. $12$
• D. $-14$

Answer 1

Answer: (B)

$-13$

Given, $\frac{x-3}{5}-2=\frac{2x}{5}$

$\Rightarrow \frac{x-3-10}{5}=\frac{2x}{5}$ …[Cross-multiplying the denominators on the LHS]

$\Rightarrow \frac{x-13}{5}=\frac{2x}{5}$

$\Rightarrow x-13=2x$ ...[Multiplying $5$ on both sides]

$\Rightarrow 2x-x=-13$ ....[Transposing $x$ terms to one side]

$\Rightarrow x=-13$.

Hence, option $B$ is correct.