Question

​​Solve the linear equation:
(x/2) - 20 = (3x/4) - (5x/6)

Answer 1

Dear student
$$\begin{gathered} \frac{\mathrm{x}}{2}-20=\frac{3\mathrm{x}}{4}-\frac{5\mathrm{x}}{6} \\ \Rightarrow \frac{3\mathrm{x}}{4}-\frac{5\mathrm{x}}{6}-\frac{\mathrm{x}}{2}=-20 \\ \Rightarrow \frac{9\mathrm{x}-10\mathrm{x}-6\mathrm{x}}{12}=-20 \\ \Rightarrow -7\mathrm{x}=-240 \\ \Rightarrow \boxed{\mathbf{x}\mathbf{=}\frac{\mathbf{240}}{\mathbf{7}}} \end{gathered}$$
Regards