Question

Solve the equation: $\frac{12x+3}{2}=\frac{x+1}{4}$.

• A. $-10$
• B. $15$
• C. $\frac{-5}{23}$
• D. $\frac{37}{12}$

Answer 1

The correct option is C $\frac{-5}{23}$

Given, $\frac{12x+3}{2}=\frac{x+1}{4}$

$\Rightarrow 4(12x+3)=2(x+1)$...[Multiply both sides by $4$]

$\Rightarrow 48x+12=2x+2$ ...[By Distribution Law]

Transposing $x$ terms to one side, we get,

$\Rightarrow 48x-2x=2-12$

$\Rightarrow 46x=-10$

$\Rightarrow 23x=-5$

$\therefore x=-\frac{5}{23}$.

Hence, option $C$ is correct.