Question

2x - x+5/2 = 1/2(x-2) - 3/2

Answer 1

2x - x + 5/2 = 1/2 (x - 2) - 3/2

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

2x + 5/2 = (x - 2) + (-3)/2

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

2x + 5/2 = x - 5/2

x = - 10

Respuesta : 

x = -10

Answer 2

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

2x - x - 1/2 x =  -1 -3/2 -5/2

(2-1-1/2) x = (-2-3-5)/2

(4-2-1)/2 x = -10/2

1/2 x = -5

x = -5 : 1/2

x = -5 . 2

x = -10

Se pueden obviar pasos, yo hice todos para que te quede más claro.