Question

Solve $\frac{2}{3}x=\frac{3}{8}x+\frac{7}{12}$.

Answer 1

Given, $\frac{2}{3}x=\frac{3}{8}x+\frac{7}{12}$

Grouping the $x$ terms on one side

$\frac{2}{3}x-\frac{3}{8}x=\frac{7}{12}$
$\Rightarrow \frac{(2\times 8)-(3\times 3)}{24}=\frac{7}{12}$

$\Rightarrow \frac{16x-9x}{24}=\frac{7}{12}$
$\Rightarrow (16x-9x)=\frac{7}{12}\times 24$

$\Rightarrow 7x=14$
$\Rightarrow x=\frac{14}{7}$

$\therefore x=2$