Question

x/2 + 5x/3 = x - 1/6

Answer 1

Operamos

x/2 + 5x/3 -x = -1/6
7x/6 = -1/6
x = -1/6 ÷ 7/6
x = 1/7≈0.143

Saludos!

Answer 2

X/2 + 5x/3 = x - 1/6
x/2+5x/3 = (6x-1) /6
(3x+10x) / 6 = (6x-1) /6 
6(18x) = 6(6x-1)
78x=36x-6
78x-36x= - 6
42x= -6
x= -6/42
x= - 1/7