What is the solution of the equation 5/3−2x=1/6

Question

?(1 point)
Responses

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

3
3

3/4
Start Fraction 3 over 4 End Fraction

−11/12

Answer 1

To solve the equation \( \frac{5}{3} - 2x = \frac{1}{6} \), we can follow these steps:

1. Isolate the term with \( x \): \[ -2x = \frac{1}{6} - \frac{5}{3} \]

2. Convert \( \frac{5}{3} \) to a fraction with a denominator of 6: \[ \frac{5}{3} = \frac{5 \times 2}{3 \times 2} = \frac{10}{6} \]

3. Substituting in: \[ -2x = \frac{1}{6} - \frac{10}{6} = -\frac{9}{6} \]

4. Simplifying: \[ -2x = -\frac{3}{2} \]

5. Dividing both sides by -2: \[ x = \frac{-\frac{3}{2}}{-2} = \frac{3}{4} \]

So the solution is: \[ x = \frac{3}{4} \]

Thus, the correct response is \( \frac{3}{4} \).