To solve the equation 5/3 - 2x = 1/6, we need to isolate the variable x.
First, let's subtract 5/3 from both sides:
5/3 - 5/3 - 2x = 1/6 - 5/3
-2x = 1/6 - 5/3
Next, let's find a common denominator for 1/6 and 5/3, which is 6:
-2x = 1/6 - 10/6
Now, we can subtract 10/6 from 1/6:
-2x = (1 - 10)/6
-2x = -9/6
Finally, we can simplify the right side by dividing the numerator and denominator by their greatest common divisor, which is 3:
-2x = (-9/3)/(6/3)
-2x = -3/2
Now, let's divide both sides by -2 to solve for x:
(-2x)/(-2) = (-3/2)/(-2)
x = 3/4
The solution to the equation 5/3 - 2x = 1/6 is x = 3/4.
What is the solution of the equation 5/3 - 2x = 1/6 (1 point)
- 11/3
03
3/4
- 11/12
1 answer