Question

Solve x/3 + 1/5 = x/2 – 1/4.​

Answer 1

Answer:

27/10...............

Answer 2

$\huge{\blue{\underbrace{\underline{\mathtt{ANSWER}}}}}$

$\implies \frac{x}{3} + \frac{1}{5} = \frac{x}{2} - \frac{1}{4}$

$\implies \frac{5x + 1}{15} = \frac{2x - 1}{2}$

$\implies \frac{4 ( 5x + 1 )}{15} = 2x - 1$

$\implies \frac{20x + 4}{15} = 2x - 1$

$\implies 20x + 4 = 15 ( 2x - 1 )$

$\implies 20x + 4 = 30x - 15$

$\implies 20x + 4 + 15 = 30x$

$\implies 20x + 19 = 30x$

$\implies 19 = 30x - 20x$

$\implies 19 = 10x$

$\implies 10x = 19$

$\implies x = \frac{19}{10}$

$\boxed{\boxed{SOLVED}}$