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

Answer 1

To solve the equation 5/3 - 2x = 1/6, we will start by simplifying both sides of the equation.

First, we can simplify the left side by finding a common denominator for 5/3 and 1/6. The common denominator is 6, so we can rewrite 5/3 as (5/3)(2/2) = 10/6.

So, the equation can be rewritten as:

10/6 - 2x = 1/6

Next, we can subtract the fractions on the left side of the equation:

10/6 - 2x = 1/6

9/6 - 2x = 1/6

Now, we can solve for x by isolating the variable. We can do this by subtracting 9/6 from both sides:

-2x = 1/6 - 9/6

-2x = -8/6

Finally, we can simplify the right side of the equation:

-2x = -4/3

To solve for x, we can divide both sides of the equation by -2:

x = (-4/3) / -2

x = 2/3

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