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

Answer 1

To solve the equation 5/3 - 2x = 1/6, you can follow these steps:

1. Begin by subtracting 5/3 from both sides of the equation.
(5/3 - 2x) - 5/3 = 1/6 - 5/3

Simplifying the left side:
-2x = 1/6 - 5/3

2. Next, simplify the right side by finding a common denominator for the fractions.
-2x = 1/6 - 10/6

3. Combine the fractions on the right side.
-2x = -9/6

4. Simplify the right side of the equation.
-2x = -3/2

5. Divide both sides of the equation by -2 to solve for x.
(-2x)/-2 = (-3/2)/-2

Simplifying:
x = 3/4

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