Question

Solve
$\frac{2}{3}(x-5)-\frac{1}{4}(x-2)=0$

Answer 1

$\frac{2}{3}(x-5)-\frac{1}{4}(x-2)=0$

$\frac{2x}{3}-\frac{10}{3}-\frac{x}{4}+\frac{1}{2}=0$

$\frac{2x}{3}-\frac{x}{4}+\frac{1}{2}-\frac{10}{3}=0$

$\frac{8x-3x}{12}+\frac{3-20}{6}=0$

$\frac{5x}{12}+(-\frac{17}{6})=0$

$\frac{5x}{12}=\frac{17}{6}$

$x=\frac{34}{5}$