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

Answer 1

To find the solution of the equation 5/3 - 2x = 1/6, we can start by subtracting 5/3 from both sides of the equation:

5/3 - 5/3 - 2x = 1/6 - 5/3

This simplifies to:

-2x = 1/6 - 5/3

Now, we need to find a common denominator to add the fractions together. The least common multiple of 6 and 3 is 6, so we can rewrite the fractions with a common denominator:

-2x = 1/6 - 10/6

Combining the fractions:

-2x = (1 - 10)/6

Simplifying the numerator:

-2x = -9/6

Now, we can simplify the fraction:

-2x = -3/2

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

x = (-3/2) / (-2)

Simplifying:

x = 3/4

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