Question

Resolva a equação:

x-1/5 = x - 2x-1/3​

Answer 1

$> resolucao \\ \\ \geqslant caso \: seja \: \frac{x -1 }{5} = \frac{x - 2x - 1}{3} \\ \\ \\ > \frac{x - 1}{5} = \frac{x - 2x - 1}{3} > mmc = 15 \\ \\ > \frac{3x - 3}{15} = \frac{5x - 10x - 5}{15} \\ \\ 3x - 3 = 5x - 10x - 5 \\ \\ 3x - 5x + 10x = - 5 + 3 \\ \\ 8x = - 2 \\ \\ x = \frac{ - 2}{8} \\ \\ x = - \frac{1}{4} \\ \\ \\ = = = = = = = = = = = = = = = = = \\ \\ \geqslant caso \: seja \: x - \frac{1}{5} = x - 2x - \frac{1}{3} \\ \\ \\ > x - \frac{1}{5} = x - 2x - \frac{1}{3} > mmc = 15 \\ \\ \frac{15x - 3}{15} = \frac{15x - 30x - 5}{15} \\ \\ 15x - 3 = 15x - 30x - 5 \\ \\ 30x = - 5 + 2 \\ \\ 30x = - 2 \\ \\ x = - \frac{2}{30} \\ \\ x = - \frac{1}{15} \\ \\ \\ > < > < > < > < > < > < > > > > >$