Question 744647
2x/3 + 1/4 = x/3 - 1/12

Use common denominator = 12

8x + 3 = 4x - 1

8x - 4x = -1 -3

4x = - 4

x = -1 

Check answer using 2x/3 + 1/4 = x/3 - 1/12
with x = -1

  2(-1)/3 + 1/4 = -1/3 - 1/12
    -2/3  + 1/4 = -1/3 - 1/12

         -5/12 = -5/12  Proved