Question

calcule x/4 -2/4 + x/2-3/2 = x/3-1/3 +x/6

Answer 1

x/4 - 2/4 + x/2 - 3/2 = x/3 - 1/3 + x/6 ---mmc(2,3,4,6) = 12
3x - 6 + 6x - 18 = 4x - 4 + 2x
9x - 24 = 6x - 4
9x - 6x = 24 - 4
       3x = 20
         x = 20/3

Answer 2

mmc = 12, portanto, temos:

(3x - 6 + 6x - 18) / 12 = (4x - 4 + 2x) / 12 ⇒ 3x - 6 + 6x - 18 = 4x - 4 + 2x ⇒
 
3x + 6x - 4x - 2x = -4 + 6 + 18 

3x = 20 ⇒ x = 20/3

S = { 20/3 }