Question

Solve the equation: $\frac{2x-3}{6}-\frac{x-5}{2}=\frac{x}{6}.$

Answer 1

Given, $\frac{2x-3}{6}-\frac{x-5}{2}=\frac{x}{6}$

$\Rightarrow \frac{2x-3}{6}-\frac{x-5}{2}-\frac{x}{6}=0$

$\Rightarrow \frac{2x-3}{6}-\frac{x}{6}-\frac{3x-15}{6}=0$

$\Rightarrow \frac{2x-3-x-3x+15}{6}=0$

$\Rightarrow \frac{-2x+12}{6}=0$

$\Rightarrow x-6=0$

$\therefore x=6$.