Question

Simplify and solve the following equation
$\frac{x-4}{2}-\frac{x-3}{4}=\frac{1}{6}$

Answer 1

$\frac{x-4}{2}-\frac{x-3}{4}=\frac{1}{6}$

$\frac{2(x-4)-(x-3)}{4}=\frac{1}{6}$

$\frac{2x-8-x+3}{4}=\frac{1}{6}$

$x-5=\frac{4}{6}$

$x=5+\frac{2}{3}$

$x=\frac{15+2}{3}=\frac{17}{3}$