Question

$\text{Solve the following equation for}x\text{.}$
$\frac{5x-4}{6}=2+\frac{3x}{2}$

• A. - 3
• B. 2
• C. 4
• D. - 4

Answer 1

The correct option is D

- 4

$\text{The given equation is}\frac{5x-4}{6}=2+\frac{3x}{2}$

$\text{By taking the LCM on RHS, we get}$
$\Rightarrow \frac{5x-4}{6}=\frac{4+3x}{2}$

$\text{On cross multiplying,}\Rightarrow 2(5x-4)=6(4+3x)$
$\Rightarrow 10x-8=24+18x$
$\Rightarrow 10x-18x=24+8$
$\Rightarrow -8x=32$
$\Rightarrow x=-\frac{32}{8}$
$\Rightarrow x=-4$