Question

Solve the following linear equation:

$\frac{(x-5)}{3}=\frac{(x-3)}{5}$

Answer 1

$$\begin{gathered} \frac{(x-5)}{3}=\frac{(x-3)}{5} \\ \Rightarrow 5(x-5)=3(x-3) \\ \Rightarrow 5x-25=3x-9 \\ \Rightarrow 5x-3x=-9+25 \\ \Rightarrow 2x=16 \\ \Rightarrow x=\frac{16}{2} \\ \Rightarrow x=8 \end{gathered}$$

Hence, $\mathit{x}\mathbf{}\mathbf{=}\mathbf{}\mathbf{8}$ is the solution of given equation.