Question

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

Answer 1

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

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

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

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

$\Rightarrow \frac{x-3}{3}=x-5$

$\Rightarrow x-3=3x-15$

$\Rightarrow x-3-3x+15=0$

$\Rightarrow -2x+12=0$

$\therefore 2x=12$ or $x=\frac{12}{2}=6$

$\therefore x=6$