Question

3 · (x – 2) = 5 – 2 · (x + 4)

Answer 1

¡Hola!

$3(x - 2) = 5 - 2(x + 4) \\ \\ 3x - 6 = 5 - 2x - 8 \\ \\ 3x + 2x = 5 - 8 + 6 \\ \\ \boxed{x = \frac{3}{5} }$

Vamos a comprobar...

$3(x - 2) = 5 - 2(x + 4) \\ \\ 3( \frac{3}{5} - 2) = 5 - 2( \frac{3}{5} + 4) \\ \\ \frac{9}{5} - 6 = 5 - \frac{6}{5} - 8 \\ \\ \frac{9}{5} - \frac{6}{1} = \frac{5}{1} - \frac{6}{5} - \frac{8}{1} \\ \\ \frac{9 - 30}{5} = \frac{25 - 6 - 40}{5} \\ \\ - \frac{21}{5} = - \frac{21}{5}$

Espero que sirva y saludos.