x-4(1/3)=x 4(1/6)

The equation you wrote isn't very clear...so the best I can do is interpret what you were trying to ask.

You wrote "x-4(1/3)=x 4(1/6)" there's no math symbol between the x and 4 before the second parentheses.I'm going to guess that you wanted there to be a + sign there.

x-4(1/3)=x+4(1/6)

x-4(1/3)=x+4(1/6)

x(1/3)-4(1/3)=x(1/6)+4(1/6)

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

-1/6x        -1/6x                      ---Subtract 1/6x from both sides

1/6x-4/3=4/6

      +4/3  +4/3                ---Add 4/3 to both sides

1/6x = 4/6+4/3   

1/6x = 4/6+8/6         ---4/3 is the same thing as 8/6

1/6x = 12/6

1/6x = 2

*6      *6             ---multiply by 6 on both sdes

x = 12

 

Let's check it by putting 12 in for x:

12-4(1/3)=12+4(1/6)

8(1/3) = 16(1/6)

8/3 = 16/6

8/3 = 8/3                        ---Divide the top and bottom of the right side by 2