To solve the equation \( \frac{5}{3} - 2x = \frac{1}{6} \), we can follow these steps:
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Isolate the term with \( x \): \[ -2x = \frac{1}{6} - \frac{5}{3} \]
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Find a common denominator to subtract the fractions. The least common multiple of 6 and 3 is 6. We can express \( \frac{5}{3} \) with a denominator of 6: \[ \frac{5}{3} = \frac{10}{6} \]
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Now substitute this back into the equation: \[ -2x = \frac{1}{6} - \frac{10}{6} \] \[ -2x = \frac{1 - 10}{6} = \frac{-9}{6} \] \[ -2x = -\frac{3}{2} \]
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Divide both sides by -2: \[ x = \frac{-\frac{3}{2}}{-2} = \frac{3}{4} \]
Thus, the solution to the equation \( \frac{5}{3} - 2x = \frac{1}{6} \) is: \[ \boxed{\frac{3}{4}} \]
So the correct response is \( \frac{3}{4} \) (Start Fraction 3 over 4 End Fraction).