Question

Solve the given equation:

$\frac{x}{2}–\frac{1}{4}=\frac{x}{3}+\frac{1}{2}$

Answer 1

The given equation is:

$\frac{x}{2}–\frac{1}{4}=\frac{x}{3}+\frac{1}{2}$

Therefore,

$$\begin{gathered} \frac{x}{2}–\frac{x}{3}=\frac{1}{2}+\frac{1}{4} \\ \Rightarrow \frac{3x–2x}{6}=\frac{1+2}{4} \\ \Rightarrow \frac{x}{6}=\frac{3}{4} \\ \Rightarrow 4x=18 \\ \Rightarrow x=\frac{18}{4} \\ \Rightarrow x=4.5 \end{gathered}$$

Hence, $\mathit{x}\mathbf{}\mathbf{=}\mathbf{}\mathbf{4}\mathbf{.}\mathbf{5}$ is the solution of given equation.