Question

If $\frac{2}{3}(5x+7)=8x$,then $x$ is equal to:

• A. $1$
• B. $0$
• C. $2$
• D. $-2$

Answer 1

The correct option is A $1$

Given, $\frac{2}{3}(5x+7)=8x$.

$\Rightarrow \frac{10x}{3}+\frac{14}{3}=8x$ ...[By Distribution Law]

$\Rightarrow \frac{10x+14}{3}=8x$ …[Cross-multiplying the denominators on the LHS]

$\Rightarrow 10x+14=24x$ ...[Multiplying $3$ on both sides].

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

$\Rightarrow 10x-24x=-14$

$\Rightarrow -14x=-14$

$\Rightarrow x=\frac{-14}{-14}=1$.

Hence, option $A$ is correct.