Question

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

Answer 1

Respuesta:

x = - 1

Explicación paso a paso:

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

$\frac{5(x - 1) - 2(x - 4)}{10} = \frac{3(x - 3) - 4(x - 2)}{12}$

$\frac{5x - 5 - 2x + 8}{10} = \frac{3x - 9 - 4x + 8}{12}$

$\frac{3x + 3}{10} = \frac{ - x - 1}{12}$

$12(3x + 3) = 10( - x - 1)$

$36x + 36 = - 10x - 10$

$36x + 10x = - 10 - 36$

$46x = - 46$

$x = - 46 \div 46$

$x = - 1$