Question

Solve for x:
$\frac{x}{2}-\frac{1}{5}=\frac{x}{3}+\frac{1}{4}$ [2 marks]

Answer 1

$\frac{x}{2}-\frac{1}{5}=\frac{x}{3}+\frac{1}{4}$
$\Rightarrow \frac{x}{2}-\frac{x}{3}=\frac{1}{4}+\frac{1}{5}$ (1 mark)
$\Rightarrow \frac{3x-2x}{6}=\frac{5+4}{20}$
$\Rightarrow \frac{x}{6}=\frac{9}{20}$
$\Rightarrow x=\frac{9\times 6}{20}=\frac{27}{10}$
(1 mark)