Question

Find the value of: $\frac{x-2}{6}-\frac{2x+1}{10}=\frac{2x-3}{15}$

• A. $-\frac{2}{8}$
• B. $-\frac{7}{5}$
• C. $-\frac{1}{4}$
• D. $-\frac{3}{8}$

Answer 1

The correct option is B $-\frac{7}{5}$

$\frac{x-2}{6}-\frac{2x+1}{10}=\frac{2x-3}{15}$
$\Rightarrow \frac{x-2}{6}-\frac{2x+1}{10}-\frac{2x-3}{15}=0$
$\Rightarrow \frac{5x-10-6x-3-4x+6}{30}$
$\Rightarrow -5x-7=0$
$\Rightarrow x=-\frac{7}{5}$