Question

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

• A. $\frac{7}{2}$
• B. $\frac{3}{2}$
• C. $\frac{5}{2}$
• D. $\frac{9}{2}$

Answer 1

The correct option is A $\frac{7}{2}$

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

$\text{Multiplying with 2 on the both sides, we get,}\Rightarrow 2\left(\frac{5x-3}{2}\right)=2(2+\frac{3x}{2})$
$\Rightarrow 5x-3=4+3x$
$\Rightarrow 5x-3x=4+3$
$\Rightarrow 2x=7$
$\therefore x=\frac{7}{2}$