Question

Resolver la siguiente ecuación:
$\frac{2}{5} *( \frac{x+1}{2} - 3) +x = \frac{x+1}{5}- 2$

Answer 1

$\frac{2}{5} *( \frac{x+1}{2} - 3) +x = \frac{x+1}{5}- 2 \\ \\ \frac{2}{5} *( \frac{x+1}{2} - \frac{3*2}{2}) +x = \frac{x+1}{5}- \frac{5*2}{5}\\ \\ \frac{2}{5} *( \frac{x+1}{2} - \frac{6}{2}) +x = \frac{x+1}{5}- \frac{10}{5}\\ \\ \frac{2}{5} *( \frac{x-5}{2}) +x = \frac{x-9}{5}\\ \\ \frac{x-5}{5} +x = \frac{x-9}{5}\\ \\ \frac{x-5}{5} + \frac{5x}{5} = \frac{x-9}{5}\\ \\ \frac{6x-5}{5} = \frac{x-9}{5} \\ \\ 6x-5 = x-9 \\ \\ 6x -x = -9 + 5 \\ \\ 5x = -4 \\ \\ \boxed{x= \frac{-4}{5} }$

Espero que te sirva, salu2!!!!