Question

What is the solution of the equation 5/3−2x=1/6 ?(1 point) Responses 3/4 Start Fraction 3 over 4 End Fraction 3 3 −11/12 negative Start Fraction 11 over 12 End Fraction −11/3

Answer 1

To solve the equation 5/3 - 2x = 1/6, we will first isolate the term with x by subtracting 5/3 from both sides:

-2x = 1/6 - 5/3

Next, we need to find a common denominator for 1/6 and 5/3, which is 6.

-2x = 1/6 - 10/6

Now, we can combine the fractions:

-2x = (1 - 10)/6

Simplifying the numerator:

-2x = -9/6

Dividing both sides by -2:

x = (-9/6)/(-2)

x = 9/12

Simplifying the fraction:

x = 3/4

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