Question

Solve the following equation and also check the solution:
$2(x+\frac{3}{2})=9$

Answer 1

Given equation $2\left(x+\frac{3}{2}\right)=9$
$\Rightarrow \frac{2(2x+3)}{2}=9$
$\Rightarrow 2x+3=9$
$\Rightarrow 2x=9-3$
$\Rightarrow 2x=6$
$\therefore x=3$
Verify: Substitute x=3 in given equation, we get
$2\left(3+\frac{3}{2}\right)=9$
$\Rightarrow \frac{2(6+3)}{2}=9$
$\Rightarrow 6+3=9$
$\therefore 9=9$
Thus, LHS=RHS