Question

Solve the following equations:
$\frac{x+5}{6}-\frac{x+1}{9}=\frac{x+3}{4}$

Answer 1

$\frac{x+5}{6}-\frac{x+1}{9}=\frac{x+3}{4}$

$\frac{3(x+5)-2(x+1)}{18}=\frac{x+3}{4}$

$2[3x+15-2x-2]=9(x+3)$

$2x+26=9x+27$

$\therefore x=\frac{-1}{7}$