Question

Solve the linear equation:

$\frac{2X}{3}=\frac{3X}{8}+\frac{7}{12}$

Answer 1

Solving the equation:

$$\begin{gathered} \frac{2X}{3}=\frac{3X}{8}+\frac{7}{12} \\ \Rightarrow \frac{2X}{3}-\frac{3X}{8}=\frac{7}{12} \\ \Rightarrow \frac{16X-9X}{24}=\frac{7}{12} \\ \Rightarrow \frac{7X}{24}=\frac{7}{12} \\ \Rightarrow X=\frac{7}{12}\times \frac{24}{7} \\ \Rightarrow X=2 \end{gathered}$$

Hence, $\mathit{X}\mathbf{}\mathbf{=}\mathbf{}\mathbf{2}$ is the solution of given equation.