Question

If $\frac{2x}{3}-\frac{3x}{8}=\frac{7}{12}$, then the value of $x$ is-

• A. $-2$
• B. $2$
• C. $-4$
• D. $3$

Answer 1

Answer: (B)

$2$

$\frac{2x}{3}-\frac{3x}{8}=\frac{7}{12}$
$\Rightarrow$ $\frac{16x-9x}{24}=\frac{7}{12}$
$\Rightarrow$ $\frac{7x}{24}=\frac{7}{12}$
$\Rightarrow$ $7x=\frac{7}{12}\times 24$
$\Rightarrow$ $7x=7\times 2$
$\Rightarrow$ $x=\frac{7\times 2}{7}$
$\Rightarrow$ $x=2$