Question

A solução de 5/x - 1/12x + 1/2 = 5-3x/ 3x + 1/4x é.

Answer 1

$\frac{5}{x}- \frac{1}{12x}+ \frac{1}{2}= \frac{5-3x}{3x}+ \frac{1}{4x}$

mmc(x,12x,3x,4x,2) = 2 . 12x = 24x

5(24) - 2 + 12x = 8(5-3x)+6
120 - 2 + 12x= 40 - 24x + 6
 118 - 46 = - 24x - 12x
           72 = - 36x 
           36x = - 72
               x = -2
Substituindo o valor de x:

$\frac{-5}{2}+ \frac{1}{24}+ \frac{1}{2}= \frac{-11}{6}- \frac{1}{8}$

mmc = 24

$\frac{-60+1+12}{24}= \frac{-44-3}{24}$

$-\frac{47}{24}=- \frac{47}{24}$