Question

1/2 (x-1) - 1/3 (x-2) + 1/4 (x-3) = 2/3

Answer 1

Ola Cleberon, 

1/2(x - 1) - 1/3(x - 2) + 1/4(x - 3) = 2/3
1/2x - 1/2 - 1/3x + 2/3 + 1/4x - 3/4 = 2/3
1/2x - 1/3x + 1/4x = 2/3 + 1/2 - 2/3 + 3/4
6/12x - 4/12x + 3/12x = 8/12 + 6/12 - 8/12 + 9/12
5/12x = 15/12
5x = 15
x = 15/5
x = 3

S = {3}

Answer 2

Boa noite 

(x - 1)/2 - (x - 2)/3 + (x - 3)/4 = 2/3

mmc(2,3,4) = 12 

6"(x - 1) - 4*(x - 2) + 3*(x - 3) = 8
6x - 6 - 4x + 8 + 3x - 9 - 8 = 0

6x - 4x + 3x = 6 - 8 + 9 + 8 = 0
5x = 15

x = 15/5 = 3