Question

Find the value of $x$, if $\frac{x}{3}-\frac{x}{5}+7=-x$.

• A. $\frac{105}{17}$
• B. $\frac{-105}{17}$
• C. $\frac{17}{105}$
• D. $\frac{-17}{105}$

Answer 1

The correct option is B $\frac{-105}{17}$

Given, $\frac{x}{3}-\frac{x}{5}+7=-x$.

Transposing $x$ terms to one side, we get,

$⟹\frac{x}{3}-\frac{x}{5}+x=-7$

$⟹\frac{5x-3x+15x}{15}=-7$ …[Cross-multiplying the denominators on the LHS]

$⟹\frac{17x}{15}=-7$ ...[On simplifying]

$⟹x=\frac{-7\times 15}{17}$

$⟹x=\frac{-105}{17}$.

Hence, option $B$ is correct.