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

Answer 1

To find the solution of the equation 5/3 - 2x = 1/6, we can follow these steps:

Step 1: Subtract 5/3 from both sides of the equation
5/3 - 5/3 - 2x = 1/6 - 5/3
-2x = 1/6 - 5/3

Step 2: Find a common denominator for 1/6 and 5/3, which is 6. Rewrite the fractions with the common denominator:
-2x = 1/6 - (5/3) * (2/2)
-2x = 1/6 - 10/6
-2x = (1 - 10)/6
-2x = -9/6

Step 3: Simplify the right side of the equation
-2x = -9/6
-2x = -3/2

Step 4: Divide both sides of the equation by -2
(-2x)/(-2) = (-3/2)/(-2)
x = 3/2

Therefore, the solution of the equation 5/3 - 2x = 1/6 is x = 3/2, which can be written as 1 1/2.