What is the solution of the equation 5/3 − 2x = 1/6?

1 answer

To solve the equation 5/3 − 2x = 1/6, we can use the following steps:

1. Subtract 5/3 from both sides of the equation to isolate the term with x:
5/3 - 5/3 - 2x = 1/6 - 5/3
-2x = 1/6 - 10/6

2. Simplify the right side of the equation:
-2x = -9/6

3. Divide both sides of the equation by -2 (to solve for x):
(-2x)/(-2) = (-9/6)/(-2)
x = 9/12

4. Simplify the fraction on the right:
x = 3/4

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