Question

By showing your working clearly verify if x=19/20is the solution of the equation 2x-3/4=1/3x+5/6

Answer 1

$2x - \frac{3}{4} = \frac{1}{3} x + \frac{5}{6} \\ = > 2x - \frac{1}{3} x = \frac{5}{6} + \frac{3}{4} \\ = > \frac{6x - x}{3} = \frac{10 + 9}{12} \\ = > \frac{5x}{3} = \frac{19}{12} \\ = > x = \frac{19}{12} \times \frac{3}{5} \\ = > \frac{19}{20}$

Therefore,

$x = \frac{19}{20}$

verified.

Hope you could get an idea from here.

Doubt clarification - use comment section.