Solve $\dfrac{3x}{4} + \dfrac{1}{2} = \dfrac{x}{2} + 2$.

Solve $\dfrac{3x}{4} + \dfrac{1}{2} = \dfrac{x}{2} + 2$.
  1. $6$
  2. $3$
  3. $2$
  4. $8$

Solution

$\dfrac{3x - 2x}{4} = \dfrac{3}{2} \Rightarrow \dfrac{x}{4} = \dfrac{3}{2} \Rightarrow x = 6$.

Asked in: IMO

Practice more LINEAR EQUATIONS IN ONE VARIABLE questions on Aicharya