5/6=1/3-x

Are you trying to solve for x?

5/6=1/3-x

5/6 - 2/6 = -x

3/6 = -x

-1/2 = x

To solve the equation 5/6 = 1/3 - x, we need to isolate the variable x on one side of the equation.

Step 1: Subtract 1/3 from both sides of the equation:
5/6 - 1/3 = 1/3 - x - 1/3
5/6 - 1/3 = -x

Step 2: Find a common denominator for the fractions on the left side of the equation. In this case, the common denominator is 6:
(5/6)*(2/2) - (1/3)*(2/2) = -x
10/12 - 2/6 = -x
10/12 - 4/12 = -x
6/12 = -x

Step 3: Simplify the left side of the equation:
6/12 = -x
1/2 = -x

Step 4: Multiply both sides of the equation by -1 to isolate x:
(-1)*(1/2) = (-1)*(-x)
-1/2 = x

Final Answer: x = -1/2