Question

Resuelve: x/2 - x/6 + 8x = 2

Answer 1

Resuelve: x/2 - x/6 + 8x = 2


$\dfrac{x}{2} - \dfrac{x}{6}+8x= 2 \\ \\ \\ \dfrac{3*x}{3*2} - \dfrac{x}{6}+ \dfrac{6*8x}{6*1}= 2 \\ \\ \\ \dfrac{3*x}{6} - \dfrac{x}{6}+ \dfrac{24x}{6}= 2 \\ \\ \\ \dfrac{3x-x+48x}{6}= 2 \\ \\ \\ \dfrac{50x}{6}= 2 \\ \\ \\ \dfrac{25}{3}x= 2 \qquad \to x= 2: \dfrac{25}{3} \qquad \to \boxed{x= \frac{6}{25} }$

Verificación 

$\dfrac{x}{2} - \dfrac{x}{6}+8x= 2 \\ \\ \\ \dfrac{ \frac{6}{25}}{2} - \dfrac{ \frac{6}{25}}{6}+8 \frac{6}{25}= 2 \\ \\ \\ \dfrac{ 3}{25} - \dfrac{1}{25}+ \dfrac{48}{25}= 2 \\ \\ \\ \dfrac{ 3-1+48}{25} = 2 \\ \\ \\ \ \dfrac{50}{25} = 2 \qquad\to 2=2$


Espero que te sirva, salu2!!!!