Question

Solve the following equation. Check your answer as well.: x/3 + 2/7 = 2x/7 + 15/49

Answer 1

$\frac{x}{3} + \frac{2}{7} = \frac{2x}{7} + \frac{15}{49} \\ \frac{x}{3} - \frac{2x}{7} = \frac{15}{49} - \frac{2}{7} \\ \frac{7x - 6x}{21} = \frac{15 - 14}{49} \\ \frac{x}{21} = \frac{1}{49} \\ 49x = 21 \\ x = \frac{21}{49} \\ x = \frac{3}{7} \: answer$