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

Question

Responses

−11/12
negative Start Fraction 11 over 12 End Fraction

3
3

−11/3
negative Start Fraction 11 over 3 End Fraction

3/4

Answer 1

To solve the equation 5/3 - 2x = 1/6, we can start by subtracting 5/3 from both sides to isolate the variable:

-2x = 1/6 - 5/3

Next, we need to find a common denominator for 1/6 and 5/3. The least common denominator (LCD) is 6. We need to also express both fractions with denominators of 6:

-2x = 1/6 - 10/6

Now, we can combine the fractions:

-2x = -9/6

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

x = (-9/6) / -2

Simplifying the right side:

x = 9/12

Simplifying further:

x = 3/4

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