what is the solution of the equation 5/3 -2x=1/6

To find the solution of the equation 5/3 - 2x = 1/6, we can follow these steps:

1. Subtract 5/3 from both sides of the equation to isolate -2x:
5/3 - 2x - 5/3 = 1/6 - 5/3
-2x = 1/6 - 5/3

2. Find a common denominator for 1/6 and 5/3. The least common denominator (LCD) between 6 and 3 is 6, so we can rewrite the equation as:
-2x = 1/6 - 10/6

3. Simplify the right side of the equation by subtracting the numerators:
-2x = -9/6

4. To solve for x, divide both sides of the equation by -2:
x = (-9/6) / -2

5. Simplify by dividing -9/6 by -2:
x = 9/12

6. Simplify the fraction:
x = 3/4

Therefore, the solution to the equation 5/3 - 2x = 1/6 is x = 3/4.