Question

Solve the following equation:

$\frac{x-2}{4}+\frac{1}{3}=x-\frac{2x-1}{3}$

• A. $3$
• B. $-5$
• C. $7$
• D. $-6$

Answer 1

The correct option is D $-6$

Given, $\frac{x-2}{4}+\frac{1}{3}=x-\frac{2x-1}{3}$

L.C.M. of $3,3,4$ is $12$.

$3(x-2)+4=12x-4(2x-1)$

$\Rightarrow 3x-6+4=12x-8x+4$

$\Rightarrow 3x-2=4x+4$

$\Rightarrow -x=6$

$\Rightarrow x=-6$