Question

Solve for $x$:

$\frac{x-2}{3}=\frac{2x}{7}$

Answer 1

Solve the equation for $x$:

$\frac{x-2}{3}=\frac{2x}{7}\Rightarrow 7\left(x-2\right)=3\times 2x\Rightarrow 7x-14=6x$

$7x-14=6x\Rightarrow 7x-6x=14\Rightarrow x=14$

Hence, the value of $x$ is $14$ .