Question

Solve for $x$:-
$\frac{2x-1}{2}-\frac{x+3}{3}=\frac{x-2}{5}$

• A. $x=\frac{5}{14}$
• B. $x=\frac{3}{14}$
• C. $x=\frac{33}{14}$
• D. None of these

Answer 1

The correct option is C $x=\frac{33}{14}$

$\frac{2x-1}{2}-\frac{x+3}{3}=\frac{x-2}{5}\Rightarrow \frac{6x-3-2x-6}{6}=\frac{x-2}{5}\Rightarrow 20x-45=6x-12\Rightarrow 14x=33\Rightarrow x=\frac{33}{14}$