Question

Solve the equation : $\frac{2x-1}{3}-\frac{6x-2}{5}=\frac{1}{3}$

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

Answer 1

The correct option is D $-\frac{1}{2}$

Given equation is $\frac{2x-1}{3}-\frac{6x-2}{5}=\frac{1}{3}$
Multiplying both sides by LCM of 3 and 5, i.e., 15
$\Rightarrow 5(2x-1)-3(6x-2)=5$
$\Rightarrow 10x-5-18x+6=5$
$\Rightarrow -8x=5+5-6\Rightarrow -8x=4$
$\Rightarrow x=-\frac{4}{8}=-\frac{1}{2}$
$\therefore x=\frac{-1}{2}$ is the solution of given equation.