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

3
3

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

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

3/4
To solve the equation 5/3 - 2x = 1/6, we can start by subtracting 5/3 from both sides of the equation:
-2x = 1/6 - 5/3
Next, we need to find a common denominator for 1/6 and 5/3, which is 6. So we can rewrite the equation as:
-2x = 1/6 - (5/3)(2/2)
Simplifying further:
-2x = 1/6 - 10/6
Combining the fractions:
-2x = -9/6
Now, divide both sides of the equation by -2 to solve for x:
x = (-9/6) / -2
Simplifying:
x = 9/12
Further simplifying by dividing both numerator and denominator by their greatest common divisor, which is 3:
x = 3/4
So the solution to the equation is x = 3/4.