Question

Solve: $\frac{2x}{7}+\frac{x-1}{5}=\frac{x}{3}+\frac{x}{7}$.

Answer 1

$\frac{2x}{7}+\frac{x-1}{5}=\frac{x}{3}+\frac{x}{7}$

$\frac{2x}{7}-\frac{x}{7}=\frac{x}{3}-\left(\frac{x-1}{5}\right)$

$\frac{x}{7}=\frac{5x-3x+3}{15}$

$\frac{x}{7}=\frac{2x+3}{15}$

$\Rightarrow 15x=14x+21$

$x=21$.